57386768000 has 256 divisors, whose sum is σ = 147026880000. Its totient is φ = 22263091200.

The previous prime is 57386767979. The next prime is 57386768003. The reversal of 57386768000 is 86768375.

It is a super-2 number, since 2×57386768000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 57386768000.

It is not an unprimeable number, because it can be changed into a prime (57386768003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164431826 + ... + 164432174.

It is an arithmetic number, because the mean of its divisors is an integer number (574323750).

Almost surely, 2^57386768000 is an apocalyptic number.

57386768000 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 57386768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440000).

57386768000 is an abundant number, since it is smaller than the sum of its proper divisors (89640112000).

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

57386768000 is a wasteful number, since it uses less digits than its factorization.

57386768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 57386768000 in words is "fifty-seven billion, three hundred eighty-six million, seven hundred sixty-eight thousand".