13295443368960 has 1056 divisors, whose sum is σ = 49642647634944. Its totient is φ = 3409330176000.

The previous prime is 13295443368959. The next prime is 13295443368967. The reversal of 13295443368960 is 6986334459231.

13295443368960 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 54 + 433 + 68 + 96 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13295443368967) 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 95 ways as a sum of consecutive naturals, for example, 3621747925 + ... + 3621751595.

Almost surely, 2^{13295443368960} is an apocalyptic number.

13295443368960 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 13295443368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24821323817472).

13295443368960 is an abundant number, since it is smaller than the sum of its proper divisors (36347204265984).

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

13295443368960 is an equidigital number, since it uses as much as digits as its factorization.

13295443368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 13295443368960 in words is "thirteen trillion, two hundred ninety-five billion, four hundred forty-three million, three hundred sixty-eight thousand, nine hundred sixty".