57877992432 has 720 divisors, whose sum is σ = 196254938880. Its totient is φ = 15850598400.

The previous prime is 57877992421. The next prime is 57877992461. The reversal of 57877992432 is 23429977875.

57877992432 is a `hidden beast` number, since 57 + 87 + 79 + 9 + 2 + 432 = 666.

Its product of digits (53343360) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 57877992432.

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 143 ways as a sum of consecutive naturals, for example, 815182957 + ... + 815183027.

It is an arithmetic number, because the mean of its divisors is an integer number (272576304).

Almost surely, 2^57877992432 is an apocalyptic number.

57877992432 is a gapful number since it is divisible by the number (52) 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 57877992432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98127469440).

57877992432 is an abundant number, since it is smaller than the sum of its proper divisors (138376946448).

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

57877992432 is a wasteful number, since it uses less digits than its factorization.

57877992432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 57877992432 in words is "fifty-seven billion, eight hundred seventy-seven million, nine hundred ninety-two thousand, four hundred thirty-two".