57416533085856 has 480 divisors, whose sum is σ = 181637109739008. Its totient is φ = 15863509186560.

The previous prime is 57416533085851. The next prime is 57416533085921. The reversal of 57416533085856 is 65858033561475.

It is not an unprimeable number, because it can be changed into a prime (57416533085851) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13812009730 + ... + 13812013886.

Almost surely, 2^{57416533085856} is an apocalyptic number.

57416533085856 is a gapful number since it is divisible by the number (56) 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 57416533085856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90818554869504).

57416533085856 is an abundant number, since it is smaller than the sum of its proper divisors (124220576653152).

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

57416533085856 is a wasteful number, since it uses less digits than its factorization.

57416533085856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6133 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 66.

The spelling of 57416533085856 in words is "fifty-seven trillion, four hundred sixteen billion, five hundred thirty-three million, eighty-five thousand, eight hundred fifty-six".