57660574100 has 36 divisors (see below), whose sum is σ = 125669886300. Its totient is φ = 22963503360.

The previous prime is 57660574099. The next prime is 57660574123. The reversal of 57660574100 is 147506675.

57660574100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1071776644 + 56588797456 = 32738^2 + 237884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236065 + ... + 1281864.

It is an arithmetic number, because the mean of its divisors is an integer number (3490830175).

Almost surely, 2^57660574100 is an apocalyptic number.

57660574100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57660574100 is an abundant number, since it is smaller than the sum of its proper divisors (68009312200).

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

57660574100 is a wasteful number, since it uses less digits than its factorization.

57660574100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518172 (or 2518165 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 57660574100 in words is "fifty-seven billion, six hundred sixty million, five hundred seventy-four thousand, one hundred".