13559616864 has 96 divisors (see below), whose sum is σ = 39571822080. Its totient is φ = 4517251200.

The previous prime is 13559616853. The next prime is 13559616871. The reversal of 13559616864 is 46861695531.

13559616864 is a `hidden beast` number, since 1 + 3 + 559 + 6 + 1 + 6 + 86 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13559616864.

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, 1993309 + ... + 2000099.

It is an arithmetic number, because the mean of its divisors is an integer number (412206480).

Almost surely, 2^13559616864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13559616864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785911040).

13559616864 is an abundant number, since it is smaller than the sum of its proper divisors (26012205216).

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

13559616864 is a wasteful number, since it uses less digits than its factorization.

13559616864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9107 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 13559616864 in words is "thirteen billion, five hundred fifty-nine million, six hundred sixteen thousand, eight hundred sixty-four".