57879813120 has 176 divisors, whose sum is σ = 186588930048. Its totient is φ = 15312568320.

The previous prime is 57879813109. The next prime is 57879813137. The reversal of 57879813120 is 2131897875.

It is a super-2 number, since 2×57879813120² (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 15 ways as a sum of consecutive naturals, for example, 1935885 + ... + 1965555.

Almost surely, 2^57879813120 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 57879813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93294465024).

57879813120 is an abundant number, since it is smaller than the sum of its proper divisors (128709116928).

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

57879813120 is a wasteful number, since it uses less digits than its factorization.

57879813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29826 (or 29808 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 57879813120 in words is "fifty-seven billion, eight hundred seventy-nine million, eight hundred thirteen thousand, one hundred twenty".