57564575424 has 224 divisors, whose sum is σ = 178707897600. Its totient is φ = 18119946240.

The previous prime is 57564575417. The next prime is 57564575429. The reversal of 57564575424 is 42457546575.

57564575424 is a `hidden beast` number, since 5 + 7 + 5 + 64 + 575 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57564575429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10864744 + ... + 10870040.

Almost surely, 2^57564575424 is an apocalyptic number.

57564575424 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 57564575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89353948800).

57564575424 is an abundant number, since it is smaller than the sum of its proper divisors (121143322176).

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

57564575424 is a wasteful number, since it uses less digits than its factorization.

57564575424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5652 counting only the distinct ones).

The product of its digits is 23520000, while the sum is 54.

The spelling of 57564575424 in words is "fifty-seven billion, five hundred sixty-four million, five hundred seventy-five thousand, four hundred twenty-four".