57039300864 has 648 divisors, whose sum is σ = 215669405952. Its totient is φ = 14146928640.

The previous prime is 57039300863. The next prime is 57039300889. The reversal of 57039300864 is 46800393075.

It is a super-2 number, since 2×57039300864² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57039300863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46335129 + ... + 46336359.

Almost surely, 2^57039300864 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 57039300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107834702976).

57039300864 is an abundant number, since it is smaller than the sum of its proper divisors (158630105088).

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

57039300864 is a wasteful number, since it uses less digits than its factorization.

57039300864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 57039300864 in words is "fifty-seven billion, thirty-nine million, three hundred thousand, eight hundred sixty-four".