Using your phone number as the Caller ID for your outgoing calls is as easy as verifying your number using the Verified CallerID aka Number Masking feature.
This will only be visible if you are on the LC Phone System.
Add a Verified Phone Number via the Console
Access the Verified Caller IDs section in sub-account -> Settings -> Phone Numbers -> Manage
Click Add a New Caller ID
Enter the desired phone number with the country to verify and click Verify Number.
You are all set all the calls sent from the phone number will show the verified caller ID instead.
π Note: Verified phone numbers can only be used as a Caller ID for outbound Twilio calls. Incoming calls to the verified number will continue to route through the existing service provider (your wireless service, landline provider, etc.).