13688804130560 has 576 divisors, whose sum is σ = 36923341553280. Its totient is φ = 4827685847040.

The previous prime is 13688804130523. The next prime is 13688804130571. The reversal of 13688804130560 is 6503140888631.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23724096992 + ... + 23724097568.

It is an arithmetic number, because the mean of its divisors is an integer number (64103023530).

Almost surely, 2^{13688804130560} is an apocalyptic number.

13688804130560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13688804130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461670776640).

13688804130560 is an abundant number, since it is smaller than the sum of its proper divisors (23234537422720).

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

13688804130560 is a wasteful number, since it uses less digits than its factorization.

13688804130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 13688804130560 in words is "thirteen trillion, six hundred eighty-eight billion, eight hundred four million, one hundred thirty thousand, five hundred sixty".