57972661032 has 128 divisors (see below), whose sum is σ = 171002482560. Its totient is φ = 16146309120.

The previous prime is 57972660997. The next prime is 57972661081. The reversal of 57972661032 is 23016627975.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763408 + ... + 835904.

It is an arithmetic number, because the mean of its divisors is an integer number (1335956895).

Almost surely, 2^57972661032 is an apocalyptic number.

57972661032 is a gapful number since it is divisible by the number (52) 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 57972661032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85501241280).

57972661032 is an abundant number, since it is smaller than the sum of its proper divisors (113029821528).

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

57972661032 is a wasteful number, since it uses less digits than its factorization.

57972661032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72763 (or 72759 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 57972661032 in words is "fifty-seven billion, nine hundred seventy-two million, six hundred sixty-one thousand, thirty-two".