13628254590624 has 96 divisors (see below), whose sum is σ = 38338474366080. Its totient is φ = 4227801633792.

The previous prime is 13628254590623. The next prime is 13628254590641. The reversal of 13628254590624 is 42609545282631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13628254590623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83326639 + ... + 83490030.

It is an arithmetic number, because the mean of its divisors is an integer number (399359107980).

Almost surely, 2^{13628254590624} is an apocalyptic number.

It is an amenable number.

13628254590624 is an abundant number, since it is smaller than the sum of its proper divisors (24710219775456).

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

13628254590624 is a wasteful number, since it uses less digits than its factorization.

13628254590624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166816742 (or 166816734 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 13628254590624 in words is "thirteen trillion, six hundred twenty-eight billion, two hundred fifty-four million, five hundred ninety thousand, six hundred twenty-four".