57514100467200 has 480 divisors, whose sum is σ = 205579265751552. Its totient is φ = 14090194944000.

The previous prime is 57514100467183. The next prime is 57514100467261. The reversal of 57514100467200 is 276400141575.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 105058185 + ... + 105604215.

Almost surely, 2^{57514100467200} is an apocalyptic number.

57514100467200 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 57514100467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102789632875776).

57514100467200 is an abundant number, since it is smaller than the sum of its proper divisors (148065165284352).

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

57514100467200 is a wasteful number, since it uses less digits than its factorization.

57514100467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546286 (or 546265 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 57514100467200 in words is "fifty-seven trillion, five hundred fourteen billion, one hundred million, four hundred sixty-seven thousand, two hundred".