13079058612672 has 112 divisors (see below), whose sum is σ = 37297068704672. Its totient is φ = 4021071482880.

The previous prime is 13079058612667. The next prime is 13079058612701. The reversal of 13079058612672 is 27621685097031.

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, 969522 + ... + 5205582.

It is an arithmetic number, because the mean of its divisors is an integer number (333009542006).

Almost surely, 2^{13079058612672} is an apocalyptic number.

13079058612672 is a gapful number since it is divisible by the number (12) 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 13079058612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648534352336).

13079058612672 is an abundant number, since it is smaller than the sum of its proper divisors (24218010092000).

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

13079058612672 is a wasteful number, since it uses less digits than its factorization.

13079058612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237326 (or 4237316 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 13079058612672 in words is "thirteen trillion, seventy-nine billion, fifty-eight million, six hundred twelve thousand, six hundred seventy-two".