57983200704 has 1120 divisors, whose sum is σ = 220824527616. Its totient is φ = 14770667520.

The previous prime is 57983200703. The next prime is 57983200783. The reversal of 57983200704 is 40700238975.

57983200704 is a `hidden beast` number, since 579 + 8 + 3 + 2 + 0 + 0 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57983200704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57983200703) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 541899019 + ... + 541899125.

Almost surely, 2^57983200704 is an apocalyptic number.

57983200704 is a gapful number since it is divisible by the number (54) 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 57983200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110412263808).

57983200704 is an abundant number, since it is smaller than the sum of its proper divisors (162841326912).

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

57983200704 is a wasteful number, since it uses less digits than its factorization.

57983200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57983200704 in words is "fifty-seven billion, nine hundred eighty-three million, two hundred thousand, seven hundred four".