57516480 has 280 divisors, whose sum is σ = 234561888. Its totient is φ = 13105152.

The previous prime is 57516449. The next prime is 57516493. The reversal of 57516480 is 8461575.

57516480 is a `hidden beast` number, since 5 + 7 + 5 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181282 + ... + 181598.

Almost surely, 2^57516480 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 57516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117280944).

57516480 is an abundant number, since it is smaller than the sum of its proper divisors (177045408).

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

57516480 is a wasteful number, since it uses less digits than its factorization.

57516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57516480 is about 7583.9620252214. The cubic root of 57516480 is about 386.0090022689.

The spelling of 57516480 in words is "fifty-seven million, five hundred sixteen thousand, four hundred eighty".