13097280768 has 288 divisors, whose sum is σ = 42283917312. Its totient is φ = 3544473600.

The previous prime is 13097280739. The next prime is 13097280769. The reversal of 13097280768 is 86708279031.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13097280768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13097280769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402621 + ... + 3406467.

Almost surely, 2^13097280768 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 13097280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141958656).

13097280768 is an abundant number, since it is smaller than the sum of its proper divisors (29186636544).

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

13097280768 is a wasteful number, since it uses less digits than its factorization.

13097280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 13097280768 in words is "thirteen billion, ninety-seven million, two hundred eighty thousand, seven hundred sixty-eight".