75713109403800 has 96 divisors (see below), whose sum is σ = 256047970006080. Its totient is φ = 18354693187200.

The previous prime is 75713109403781. The next prime is 75713109403817. The reversal of 75713109403800 is 830490131757.

It is a self number, because there is not a number n which added to its sum of digits gives 75713109403800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5735835022 + ... + 5735848221.

It is an arithmetic number, because the mean of its divisors is an integer number (2667166354230).

Almost surely, 2^{75713109403800} is an apocalyptic number.

It is an amenable number.

75713109403800 is an abundant number, since it is smaller than the sum of its proper divisors (180334860602280).

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

75713109403800 is a wasteful number, since it uses less digits than its factorization.

75713109403800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471683273 (or 11471683264 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 75713109403800 in words is "seventy-five trillion, seven hundred thirteen billion, one hundred nine million, four hundred three thousand, eight hundred".