57564993024 has 900 divisors, whose sum is σ = 217989920148. Its totient is φ = 14604226560.

The previous prime is 57564992999. The next prime is 57564993041. The reversal of 57564993024 is 42039946575.

57564993024 is a `hidden beast` number, since 57 + 56 + 499 + 30 + 24 = 666.

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 89 ways as a sum of consecutive naturals, for example, 1338720747 + ... + 1338720789.

Almost surely, 2^57564993024 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 57564993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108994960074).

57564993024 is an abundant number, since it is smaller than the sum of its proper divisors (160424927124).

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

57564993024 is an equidigital number, since it uses as much as digits as its factorization.

57564993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 57564993024 in words is "fifty-seven billion, five hundred sixty-four million, nine hundred ninety-three thousand, twenty-four".