57500112384 has 1280 divisors, whose sum is σ = 222735744000. Its totient is φ = 14368112640.

The previous prime is 57500112377. The next prime is 57500112407. The reversal of 57500112384 is 48321100575.

57500112384 is a `hidden beast` number, since 5 + 7 + 500 + 112 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 974578147 + ... + 974578205.

It is an arithmetic number, because the mean of its divisors is an integer number (174012300).

Almost surely, 2^57500112384 is an apocalyptic number.

57500112384 is a gapful number since it is divisible by the number (54) 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 57500112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367872000).

57500112384 is an abundant number, since it is smaller than the sum of its proper divisors (165235631616).

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

57500112384 is a wasteful number, since it uses less digits than its factorization.

57500112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 57500112384 in words is "fifty-seven billion, five hundred million, one hundred twelve thousand, three hundred eighty-four".