57979622400 has 1056 divisors, whose sum is σ = 233927884800. Its totient is φ = 12644352000.

The previous prime is 57979622399. The next prime is 57979622411. The reversal of 57979622400 is 422697975.

It is a super-2 number, since 2×57979622400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816614365 + ... + 816614435.

Almost surely, 2^57979622400 is an apocalyptic number.

57979622400 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 57979622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116963942400).

57979622400 is an abundant number, since it is smaller than the sum of its proper divisors (175948262400).

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

57979622400 is a wasteful number, since it uses less digits than its factorization.

57979622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 57979622400 in words is "fifty-seven billion, nine hundred seventy-nine million, six hundred twenty-two thousand, four hundred".