57080605824 has 256 divisors, whose sum is σ = 185316048000. Its totient is φ = 17295759360.

The previous prime is 57080605823. The next prime is 57080605831. The reversal of 57080605824 is 42850608075.

57080605824 is a `hidden beast` number, since 5 + 7 + 0 + 8 + 0 + 60 + 582 + 4 = 666.

It is a super-2 number, since 2×57080605824² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57080605824.

It is not an unprimeable number, because it can be changed into a prime (57080605823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4593732 + ... + 4606140.

Almost surely, 2^57080605824 is an apocalyptic number.

57080605824 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 57080605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92658024000).

57080605824 is an abundant number, since it is smaller than the sum of its proper divisors (128235442176).

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

57080605824 is a wasteful number, since it uses less digits than its factorization.

57080605824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12425 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 57080605824 in words is "fifty-seven billion, eighty million, six hundred five thousand, eight hundred twenty-four".