57213337595904 has 1144 divisors, whose sum is σ = 200586638960640. Its totient is φ = 15976614887424.

The previous prime is 57213337595749. The next prime is 57213337595971. The reversal of 57213337595904 is 40959573331275.

It is a happy number.

57213337595904 is a `hidden beast` number, since 5 + 7 + 2 + 1 + 3 + 3 + 37 + 5 + 9 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 79573487257 + ... + 79573487975.

Almost surely, 2^{57213337595904} is an apocalyptic number.

57213337595904 is a gapful number since it is divisible by the number (54) 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 57213337595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100293319480320).

57213337595904 is an abundant number, since it is smaller than the sum of its proper divisors (143373301364736).

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

57213337595904 is an frugal number, since it uses more digits than its factorization.

57213337595904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 57213337595904 in words is "fifty-seven trillion, two hundred thirteen billion, three hundred thirty-seven million, five hundred ninety-five thousand, nine hundred four".