15200152254864 has 80 divisors (see below), whose sum is σ = 43631752478400. Its totient is φ = 5066521645824.

The previous prime is 15200152254857. The next prime is 15200152254953. The reversal of 15200152254864 is 46845225100251.

15200152254864 is a `hidden beast` number, since 1 + 5 + 20 + 0 + 1 + 5 + 22 + 548 + 64 = 666.

It is a super-2 number, since 2×15200152254864² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10735207 + ... + 12068345.

It is an arithmetic number, because the mean of its divisors is an integer number (545396905980).

Almost surely, 2^{15200152254864} is an apocalyptic number.

It is an amenable number.

15200152254864 is an abundant number, since it is smaller than the sum of its proper divisors (28431600223536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15200152254864 is a wasteful number, since it uses less digits than its factorization.

15200152254864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359549 (or 1359537 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 15200152254864 in words is "fifteen trillion, two hundred billion, one hundred fifty-two million, two hundred fifty-four thousand, eight hundred sixty-four".