57160984608 has 480 divisors, whose sum is σ = 210049386624. Its totient is φ = 14846312448.

The previous prime is 57160984607. The next prime is 57160984619. The reversal of 57160984608 is 80648906175.

57160984608 is a `hidden beast` number, since 571 + 6 + 0 + 9 + 8 + 4 + 60 + 8 = 666.

It is a super-2 number, since 2×57160984608² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57160984607) 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, 15801616 + ... + 15805232.

Almost surely, 2^57160984608 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 57160984608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105024693312).

57160984608 is an abundant number, since it is smaller than the sum of its proper divisors (152888402016).

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

57160984608 is a wasteful number, since it uses less digits than its factorization.

57160984608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 57160984608 in words is "fifty-seven billion, one hundred sixty million, nine hundred eighty-four thousand, six hundred eight".