57315811580352 has 336 divisors, whose sum is σ = 187425092024352. Its totient is φ = 16589817446400.

The previous prime is 57315811580347. The next prime is 57315811580387. The reversal of 57315811580352 is 25308511851375.

It is a happy number.

57315811580352 is a `hidden beast` number, since 5 + 7 + 3 + 1 + 5 + 8 + 1 + 1 + 580 + 3 + 52 = 666.

It is a super-2 number, since 2×57315811580352² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252823852 + ... + 253050452.

It is an arithmetic number, because the mean of its divisors is an integer number (557812773882).

Almost surely, 2^{57315811580352} is an apocalyptic number.

57315811580352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57315811580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93712546012176).

57315811580352 is an abundant number, since it is smaller than the sum of its proper divisors (130109280444000).

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

57315811580352 is a wasteful number, since it uses less digits than its factorization.

57315811580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228636 (or 228623 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 57315811580352 in words is "fifty-seven trillion, three hundred fifteen billion, eight hundred eleven million, five hundred eighty thousand, three hundred fifty-two".