12797596560 has 240 divisors, whose sum is σ = 46487649600. Its totient is φ = 2903749632.

The previous prime is 12797596517. The next prime is 12797596561. The reversal of 12797596560 is 6569579721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 12797596560.

It is not an unprimeable number, because it can be changed into a prime (12797596561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1630726 + ... + 1638554.

It is an arithmetic number, because the mean of its divisors is an integer number (193698540).

Almost surely, 2^12797596560 is an apocalyptic number.

12797596560 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 12797596560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243824800).

12797596560 is an abundant number, since it is smaller than the sum of its proper divisors (33690053040).

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

12797596560 is a wasteful number, since it uses less digits than its factorization.

12797596560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 12797596560 in words is "twelve billion, seven hundred ninety-seven million, five hundred ninety-six thousand, five hundred sixty".