57122493926400 has 5280 divisors, whose sum is σ = 265314768863232. Its totient is φ = 11867494809600.

The previous prime is 57122493926371. The next prime is 57122493926413. The reversal of 57122493926400 is 462939422175.

It is a happy number.

57122493926400 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 2 + 493 + 92 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 782499916764 + ... + 782499916836.

Almost surely, 2^{57122493926400} is an apocalyptic number.

57122493926400 is a gapful number since it is divisible by the number (50) 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 57122493926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132657384431616).

57122493926400 is an abundant number, since it is smaller than the sum of its proper divisors (208192274936832).

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

57122493926400 is a wasteful number, since it uses less digits than its factorization.

57122493926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 57122493926400 in words is "fifty-seven trillion, one hundred twenty-two billion, four hundred ninety-three million, nine hundred twenty-six thousand, four hundred".