57408024160 has 96 divisors (see below), whose sum is σ = 140388020640. Its totient is φ = 22157979648.

The previous prime is 57408024143. The next prime is 57408024203. The reversal of 57408024160 is 6142080475.

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 15 ways as a sum of consecutive naturals, for example, 11472219 + ... + 11477221.

It is an arithmetic number, because the mean of its divisors is an integer number (1462375215).

Almost surely, 2^57408024160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57408024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70194010320).

57408024160 is an abundant number, since it is smaller than the sum of its proper divisors (82979996480).

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

57408024160 is a wasteful number, since it uses less digits than its factorization.

57408024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 57408024160 in words is "fifty-seven billion, four hundred eight million, twenty-four thousand, one hundred sixty".