12791362690260 has 576 divisors, whose sum is σ = 49575810945024. Its totient is φ = 2592001382400.

The previous prime is 12791362690213. The next prime is 12791362690273. The reversal of 12791362690260 is 6209626319721.

12791362690260 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 3 + 626 + 9 + 0 + 2 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12791362690197 and 12791362690206.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2195185467 + ... + 2195191293.

It is an arithmetic number, because the mean of its divisors is an integer number (86069116224).

Almost surely, 2^{12791362690260} is an apocalyptic number.

12791362690260 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 12791362690260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24787905472512).

12791362690260 is an abundant number, since it is smaller than the sum of its proper divisors (36784448254764).

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

12791362690260 is a wasteful number, since it uses less digits than its factorization.

12791362690260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12791362690260 in words is "twelve trillion, seven hundred ninety-one billion, three hundred sixty-two million, six hundred ninety thousand, two hundred sixty".