57509165952 has 864 divisors, whose sum is σ = 214615089000. Its totient is φ = 14680092672.

The previous prime is 57509165939. The next prime is 57509166007. The reversal of 57509165952 is 25956190575.

57509165952 is a `hidden beast` number, since 575 + 0 + 9 + 1 + 65 + 9 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1337422443 + ... + 1337422485.

Almost surely, 2^57509165952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57509165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107307544500).

57509165952 is an abundant number, since it is smaller than the sum of its proper divisors (157105923048).

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

57509165952 is a wasteful number, since it uses less digits than its factorization.

57509165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 54.

The spelling of 57509165952 in words is "fifty-seven billion, five hundred nine million, one hundred sixty-five thousand, nine hundred fifty-two".