57416924160 has 264 divisors, whose sum is σ = 199339807680. Its totient is φ = 15281061888.

The previous prime is 57416924153. The next prime is 57416924203. The reversal of 57416924160 is 6142961475.

57416924160 is a `hidden beast` number, since 5 + 74 + 169 + 2 + 416 + 0 = 666.

It is a super-4 number, since 4×57416924160⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33130654 + ... + 33132386.

Almost surely, 2^57416924160 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 57416924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99669903840).

57416924160 is an abundant number, since it is smaller than the sum of its proper divisors (141922883520).

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

57416924160 is a wasteful number, since it uses less digits than its factorization.

57416924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57416924160 in words is "fifty-seven billion, four hundred sixteen million, nine hundred twenty-four thousand, one hundred sixty".