57398112000 has 576 divisors, whose sum is σ = 218766213120. Its totient is φ = 14805504000.

The previous prime is 57398111999. The next prime is 57398112043. The reversal of 57398112000 is 21189375.

57398112000 is a `hidden beast` number, since 57 + 398 + 11 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×57398112000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26782929 + ... + 26785071.

Almost surely, 2^57398112000 is an apocalyptic number.

57398112000 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 57398112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109383106560).

57398112000 is an abundant number, since it is smaller than the sum of its proper divisors (161368101120).

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

57398112000 is a wasteful number, since it uses less digits than its factorization.

57398112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 57398112000 in words is "fifty-seven billion, three hundred ninety-eight million, one hundred twelve thousand".