57876515400 has 192 divisors, whose sum is σ = 195866838720. Its totient is φ = 14020710400.

The previous prime is 57876515381. The next prime is 57876515423. The reversal of 57876515400 is 451567875.

57876515400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57876515400.

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, 14207764 + ... + 14211836.

It is an arithmetic number, because the mean of its divisors is an integer number (1020139785).

Almost surely, 2^57876515400 is an apocalyptic number.

57876515400 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 57876515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97933419360).

57876515400 is an abundant number, since it is smaller than the sum of its proper divisors (137990323320).

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

57876515400 is a wasteful number, since it uses less digits than its factorization.

57876515400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 57876515400 in words is "fifty-seven billion, eight hundred seventy-six million, five hundred fifteen thousand, four hundred".