57080832000 has 448 divisors, whose sum is σ = 201311158464. Its totient is φ = 14313062400.

The previous prime is 57080831981. The next prime is 57080832013. The reversal of 57080832000 is 23808075.

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, 52223454 + ... + 52224546.

Almost surely, 2^57080832000 is an apocalyptic number.

57080832000 is a gapful number since it is divisible by the number (50) 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 57080832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100655579232).

57080832000 is an abundant number, since it is smaller than the sum of its proper divisors (144230326464).

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

57080832000 is a wasteful number, since it uses less digits than its factorization.

57080832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 57080832000 in words is "fifty-seven billion, eighty million, eight hundred thirty-two thousand".