57160022976 has 336 divisors, whose sum is σ = 195267072000. Its totient is φ = 16240020480.

The previous prime is 57160022963. The next prime is 57160023007. The reversal of 57160022976 is 67922006175.

57160022976 is a `hidden beast` number, since 571 + 6 + 0 + 0 + 2 + 2 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20791650 + ... + 20794398.

It is an arithmetic number, because the mean of its divisors is an integer number (581152000).

Almost surely, 2^57160022976 is an apocalyptic number.

57160022976 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 57160022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97633536000).

57160022976 is an abundant number, since it is smaller than the sum of its proper divisors (138107049024).

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

57160022976 is a wasteful number, since it uses less digits than its factorization.

57160022976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 57160022976 in words is "fifty-seven billion, one hundred sixty million, twenty-two thousand, nine hundred seventy-six".