57007766100 has 72 divisors (see below), whose sum is σ = 165022437888. Its totient is φ = 15194700800.

The previous prime is 57007766087. The next prime is 57007766141. The reversal of 57007766100 is 166770075.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588292 + ... + 678308.

It is an arithmetic number, because the mean of its divisors is an integer number (2291978304).

Almost surely, 2^57007766100 is an apocalyptic number.

57007766100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57007766100 is an abundant number, since it is smaller than the sum of its proper divisors (108014671788).

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

57007766100 is a wasteful number, since it uses less digits than its factorization.

57007766100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92145 (or 92138 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 57007766100 in words is "fifty-seven billion, seven million, seven hundred sixty-six thousand, one hundred".