Request: Enable iCloud account without entering the trusted phone number and security questions

Initially , when Apple ID was created do you added a rescue mail address and month / year / date of your birthday .

You can read this article If your Apple ID is locked or disabled - Apple Support

If rescue mail is added see this article About your Apple ID email addresses - Apple Support contact apple support Contact Apple for support and service - Apple Support

They might send a verification pin number to your mail address ( in case if you have not added the rescue mail address to the Apple ID account , you can create a new gmail account immediately see this article Create a Gmail account - Gmail Help

So that it would be easy to send a verification code see this article Generate a temporary Support PIN - Apple Support on this new mail address , you have to click on the link , and read out that the number to apple support advisor , once they are contented ( some questions like your Apple ID , IMEI number of the iOS device see this article Find the serial number or IMEI on your iPhone, iPad or iPod touch - Apple Support/ or can even ask to send the original invoice scan copy of the device through mail , that you are the right owner of this device and Apple ID .

Once it is confirmed , click on the link the link validation time is up to 24 hours , after 24 hours the link will expire .

I am a user like yourself in the apple support community , see if it helps .

Borrow a Mac from your friend , open system preferences and click on cloud , tell him to click on sign out , a pop window appears check all the boxes as shown in the screen shot and he must click on keep a copy , an archive folder will be created in home folder and the data will be saved and not lost .

Now , you are having Apple ID and password with you but don't remember the questions and answers , to view your account details , you must sign in with your Apple ID and password and click on account details .

Fill up the Apple ID password in the empty field .

And click on continue , again click on contact , you can see the trusted mobile number and the related Apple IDs are shown , write down the credentials in a safe place and click on done .

After that , sign out from your Apple ID from this Mac as this is your friends Mac and after that he can use his Mac by signing with his Apple ID and password .

Say , Thanks ! to your friend , the data is in your records .

again we are all users just like you - no one here has access to Apple engineers nor can anyone enable your account - here are your options - Contact - How to Contact Us - Apple

or use the apple instructions -- Sign in with your Apple ID - Apple Support

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This is a user-to-user support forum. You may want to use the following instructions to contact Apple: Contact Apple for help with Apple ID account security - Apple Support