57080207968 has 192 divisors, whose sum is σ = 140107968000. Its totient is φ = 22347546624.

The previous prime is 57080207959. The next prime is 57080207993. The reversal of 57080207968 is 86970208075.

57080207968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13306368 + ... + 13310656.

It is an arithmetic number, because the mean of its divisors is an integer number (729729000).

Almost surely, 2^57080207968 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 57080207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70053984000).

57080207968 is an abundant number, since it is smaller than the sum of its proper divisors (83027760032).

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

57080207968 is a wasteful number, since it uses less digits than its factorization.

57080207968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 57080207968 in words is "fifty-seven billion, eighty million, two hundred seven thousand, nine hundred sixty-eight".