13007562798720 has 1536 divisors, whose sum is σ = 51619389696000. Its totient is φ = 2771788529664.

The previous prime is 13007562798719. The next prime is 13007562798751. The reversal of 13007562798720 is 2789726570031.

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, 17745651474 + ... + 17745652206.

It is an arithmetic number, because the mean of its divisors is an integer number (33606373500).

Almost surely, 2^{13007562798720} is an apocalyptic number.

13007562798720 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 13007562798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809694848000).

13007562798720 is an abundant number, since it is smaller than the sum of its proper divisors (38611826897280).

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

13007562798720 is a wasteful number, since it uses less digits than its factorization.

13007562798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 13007562798720 in words is "thirteen trillion, seven billion, five hundred sixty-two million, seven hundred ninety-eight thousand, seven hundred twenty".