57013584000 has 512 divisors, whose sum is σ = 195839804160. Its totient is φ = 14664499200.

The previous prime is 57013583999. The next prime is 57013584011. The reversal of 57013584000 is 48531075.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185711847 + ... + 185712153.

Almost surely, 2^57013584000 is an apocalyptic number.

57013584000 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 57013584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97919902080).

57013584000 is an abundant number, since it is smaller than the sum of its proper divisors (138826220160).

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

57013584000 is a wasteful number, since it uses less digits than its factorization.

57013584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 57013584000 in words is "fifty-seven billion, thirteen million, five hundred eighty-four thousand".