57070972224 has 448 divisors, whose sum is σ = 200481996800. Its totient is φ = 15771594240.

The previous prime is 57070972219. The next prime is 57070972247. The reversal of 57070972224 is 42227907075.

57070972224 is a `hidden beast` number, since 570 + 7 + 0 + 9 + 72 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 57070972224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30372117 + ... + 30373995.

Almost surely, 2^57070972224 is an apocalyptic number.

57070972224 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 57070972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100240998400).

57070972224 is an abundant number, since it is smaller than the sum of its proper divisors (143411024576).

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

57070972224 is an equidigital number, since it uses as much as digits as its factorization.

57070972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 57070972224 in words is "fifty-seven billion, seventy million, nine hundred seventy-two thousand, two hundred twenty-four".