57378832711200 has 3456 divisors, whose sum is σ = 294359243802624. Its totient is φ = 10116513792000.

The previous prime is 57378832711199. The next prime is 57378832711223. The reversal of 57378832711200 is 211723887375.

57378832711200 is a `hidden beast` number, since 5 + 7 + 37 + 88 + 327 + 1 + 1 + 200 = 666.

57378832711200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5268457755 + ... + 5268468645.

It is an arithmetic number, because the mean of its divisors is an integer number (85173392304).

Almost surely, 2^{57378832711200} is an apocalyptic number.

57378832711200 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 57378832711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147179621901312).

57378832711200 is an abundant number, since it is smaller than the sum of its proper divisors (236980411091424).

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

57378832711200 is a wasteful number, since it uses less digits than its factorization.

57378832711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 57378832711200 in words is "fifty-seven trillion, three hundred seventy-eight billion, eight hundred thirty-two million, seven hundred eleven thousand, two hundred".