57064924224 has 672 divisors, whose sum is σ = 213091450880. Its totient is φ = 14657448960.

The previous prime is 57064924201. The next prime is 57064924271. The reversal of 57064924224 is 42242946075.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 57064924224.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185879079 + ... + 185879385.

Almost surely, 2^57064924224 is an apocalyptic number.

57064924224 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 57064924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106545725440).

57064924224 is an abundant number, since it is smaller than the sum of its proper divisors (156026526656).

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

57064924224 is a wasteful number, since it uses less digits than its factorization.

57064924224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 57064924224 in words is "fifty-seven billion, sixty-four million, nine hundred twenty-four thousand, two hundred twenty-four".