57652866072 has 128 divisors (see below), whose sum is σ = 163114560000. Its totient is φ = 18862830720.

The previous prime is 57652866043. The next prime is 57652866101. The reversal of 57652866072 is 27066825675.

57652866072 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 28 + 6 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (57652866043) and next prime (57652866101).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 6623179 + ... + 6631877.

It is an arithmetic number, because the mean of its divisors is an integer number (1274332500).

Almost surely, 2^57652866072 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 57652866072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81557280000).

57652866072 is an abundant number, since it is smaller than the sum of its proper divisors (105461693928).

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

57652866072 is a wasteful number, since it uses less digits than its factorization.

57652866072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 57652866072 in words is "fifty-seven billion, six hundred fifty-two million, eight hundred sixty-six thousand, seventy-two".