57719964000 has 768 divisors, whose sum is σ = 210178934784. Its totient is φ = 13787136000.

The previous prime is 57719963971. The next prime is 57719964011. The reversal of 57719964000 is 46991775.

It is a happy number.

It is a super-2 number, since 2×57719964000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 560387949 + ... + 560388051.

It is an arithmetic number, because the mean of its divisors is an integer number (273670488).

Almost surely, 2^57719964000 is an apocalyptic number.

57719964000 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 57719964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105089467392).

57719964000 is an abundant number, since it is smaller than the sum of its proper divisors (152458970784).

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

57719964000 is a wasteful number, since it uses less digits than its factorization.

57719964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 57719964000 in words is "fifty-seven billion, seven hundred nineteen million, nine hundred sixty-four thousand".