125563904928 has 432 divisors, whose sum is σ = 454318956000. Its totient is φ = 32528563200.

The previous prime is 125563904923. The next prime is 125563904941. The reversal of 125563904928 is 829409365521.

125563904928 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 63 + 90 + 492 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (125563904923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77459958 + ... + 77461578.

It is an arithmetic number, because the mean of its divisors is an integer number (1051664250).

Almost surely, 2^125563904928 is an apocalyptic number.

125563904928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125563904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227159478000).

125563904928 is an abundant number, since it is smaller than the sum of its proper divisors (328755051072).

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

125563904928 is a wasteful number, since it uses less digits than its factorization.

125563904928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 125563904928 in words is "one hundred twenty-five billion, five hundred sixty-three million, nine hundred four thousand, nine hundred twenty-eight".