57790696320 has 256 divisors, whose sum is σ = 233915212800. Its totient is φ = 13209274368.

The previous prime is 57790696319. The next prime is 57790696351. The reversal of 57790696320 is 2369609775.

57790696320 is a `hidden beast` number, since 577 + 9 + 0 + 6 + 9 + 63 + 2 + 0 = 666.

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, 117924 + ... + 359843.

It is an arithmetic number, because the mean of its divisors is an integer number (913731300).

Almost surely, 2^57790696320 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 57790696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116957606400).

57790696320 is an abundant number, since it is smaller than the sum of its proper divisors (176124516480).

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

57790696320 is a wasteful number, since it uses less digits than its factorization.

57790696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477802 (or 477784 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 57790696320 in words is "fifty-seven billion, seven hundred ninety million, six hundred ninety-six thousand, three hundred twenty".