13589985528864 has 144 divisors (see below), whose sum is σ = 41170677256800. Its totient is φ = 4239868520448.

The previous prime is 13589985528863. The next prime is 13589985528869. The reversal of 13589985528864 is 46882558998531.

13589985528864 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 9 + 9 + 8 + 5 + 528 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13589985528863) 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, 14506969 + ... + 15415320.

It is an arithmetic number, because the mean of its divisors is an integer number (285907480950).

Almost surely, 2^{13589985528864} is an apocalyptic number.

It is an amenable number.

13589985528864 is an abundant number, since it is smaller than the sum of its proper divisors (27580691727936).

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

13589985528864 is a wasteful number, since it uses less digits than its factorization.

13589985528864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29922407 (or 29922396 counting only the distinct ones).

The product of its digits is 5971968000, while the sum is 81.

The spelling of 13589985528864 in words is "thirteen trillion, five hundred eighty-nine billion, nine hundred eighty-five million, five hundred twenty-eight thousand, eight hundred sixty-four".