BB(5) is known to be 47,176,870, or 10110011111101110010100110 in base 2.
If we think of the nth prime as the output of a Turing machine that computes the prime numbers where n is on the input tape, then if people are saying the output aloud of such a machine, it would make sense to do so similarly here as well.
Ultimately, it doesn’t really matter. All these functions basically grow at the same rate asymptotically.