57815590560 has 384 divisors, whose sum is σ = 224550144000. Its totient is φ = 12176510976.

The previous prime is 57815590541. The next prime is 57815590577. The reversal of 57815590560 is 6509551875.

It is a happy number.

57815590560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57815590560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38568691 + ... + 38570189.

It is an arithmetic number, because the mean of its divisors is an integer number (584766000).

Almost surely, 2^57815590560 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 57815590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072000).

57815590560 is an abundant number, since it is smaller than the sum of its proper divisors (166734553440).

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

57815590560 is a wasteful number, since it uses less digits than its factorization.

57815590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 51.

The spelling of 57815590560 in words is "fifty-seven billion, eight hundred fifteen million, five hundred ninety thousand, five hundred sixty".