57699260400 has 120 divisors (see below), whose sum is σ = 185513039104. Its totient is φ = 15329606400.

The previous prime is 57699260327. The next prime is 57699260407. The reversal of 57699260400 is 406299675.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57699260400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57699260407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236487 + ... + 413913.

Almost surely, 2^57699260400 is an apocalyptic number.

57699260400 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 57699260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92756519552).

57699260400 is an abundant number, since it is smaller than the sum of its proper divisors (127813778704).

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

57699260400 is a wasteful number, since it uses less digits than its factorization.

57699260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177719 (or 177708 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 57699260400 in words is "fifty-seven billion, six hundred ninety-nine million, two hundred sixty thousand, four hundred".