13085996568880 has 80 divisors (see below), whose sum is σ = 33418700709120. Its totient is φ = 4743299430144.

The previous prime is 13085996568851. The next prime is 13085996568907. The reversal of 13085996568880 is 8886569958031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 13085996568797 and 13085996568806.

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, 187121742 + ... + 187191661.

It is an arithmetic number, because the mean of its divisors is an integer number (417733758864).

Almost surely, 2^{13085996568880} is an apocalyptic number.

13085996568880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13085996568880 is an abundant number, since it is smaller than the sum of its proper divisors (20332704140240).

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

13085996568880 is a wasteful number, since it uses less digits than its factorization.

13085996568880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374313458 (or 374313452 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 76.

The spelling of 13085996568880 in words is "thirteen trillion, eighty-five billion, nine hundred ninety-six million, five hundred sixty-eight thousand, eight hundred eighty".