57358752000 has 576 divisors, whose sum is σ = 215118408960. Its totient is φ = 13418496000.

The previous prime is 57358751999. The next prime is 57358752019. The reversal of 57358752000 is 25785375.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30623064 + ... + 30624936.

It is an arithmetic number, because the mean of its divisors is an integer number (373469460).

Almost surely, 2^57358752000 is an apocalyptic number.

57358752000 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 57358752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107559204480).

57358752000 is an abundant number, since it is smaller than the sum of its proper divisors (157759656960).

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

57358752000 is a wasteful number, since it uses less digits than its factorization.

57358752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 57358752000 in words is "fifty-seven billion, three hundred fifty-eight million, seven hundred fifty-two thousand".