57378816000 has 720 divisors, whose sum is σ = 226466630208. Its totient is φ = 13860864000.

The previous prime is 57378815993. The next prime is 57378816017. The reversal of 57378816000 is 61887375.

57378816000 is a `hidden beast` number, since 5 + 7 + 37 + 8 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 202751859 + ... + 202752141.

Almost surely, 2^57378816000 is an apocalyptic number.

57378816000 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 57378816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113233315104).

57378816000 is an abundant number, since it is smaller than the sum of its proper divisors (169087814208).

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

57378816000 is a wasteful number, since it uses less digits than its factorization.

57378816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 57378 and 816000, that added together give a palindrome (873378).

The spelling of 57378816000 in words is "fifty-seven billion, three hundred seventy-eight million, eight hundred sixteen thousand".