13079755252224 has 200 divisors, whose sum is σ = 39084249042828. Its totient is φ = 4354934906880.

The previous prime is 13079755252219. The next prime is 13079755252261. The reversal of 13079755252224 is 42225255797031.

13079755252224 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 9 + 75 + 525 + 22 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12699016890624 + 380738361600 = 3563568^2 + 617040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36191134 + ... + 36550754.

Almost surely, 2^{13079755252224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13079755252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19542124521414).

13079755252224 is an abundant number, since it is smaller than the sum of its proper divisors (26004493790604).

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

13079755252224 is an frugal number, since it uses more digits than its factorization.

13079755252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360528 (or 360503 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 13079755252224 in words is "thirteen trillion, seventy-nine billion, seven hundred fifty-five million, two hundred fifty-two thousand, two hundred twenty-four".