5175664736000 has 144 divisors (see below), whose sum is σ = 14065340391648. Its totient is φ = 1882059776000.

The previous prime is 5175664735993. The next prime is 5175664736017. The reversal of 5175664736000 is 6374665715.

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 5175664736000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6999797 + ... + 7703796.

It is an arithmetic number, because the mean of its divisors is an integer number (97675974942).

Almost surely, 2^{5175664736000} is an apocalyptic number.

5175664736000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5175664736000 is an abundant number, since it is smaller than the sum of its proper divisors (8889675655648).

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

5175664736000 is a wasteful number, since it uses less digits than its factorization.

5175664736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703635 (or 14703611 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 5175664736000 in words is "five trillion, one hundred seventy-five billion, six hundred sixty-four million, seven hundred thirty-six thousand".