13079849289120 has 1152 divisors, whose sum is σ = 51473549433600. Its totient is φ = 3092810563584.

The previous prime is 13079849289097. The next prime is 13079849289131. The reversal of 13079849289120 is 2198294897031.

13079849289120 is a `hidden beast` number, since 1 + 30 + 7 + 9 + 8 + 492 + 8 + 91 + 20 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4578174732 + ... + 4578177588.

It is an arithmetic number, because the mean of its divisors is an integer number (44681900550).

Almost surely, 2^{13079849289120} is an apocalyptic number.

13079849289120 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 13079849289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736774716800).

13079849289120 is an abundant number, since it is smaller than the sum of its proper divisors (38393700144480).

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

13079849289120 is a wasteful number, since it uses less digits than its factorization.

13079849289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 13079849289120 in words is "thirteen trillion, seventy-nine billion, eight hundred forty-nine million, two hundred eighty-nine thousand, one hundred twenty".