13007765568 has 112 divisors (see below), whose sum is σ = 40247905280. Its totient is φ = 3630057984.

The previous prime is 13007765527. The next prime is 13007765581. The reversal of 13007765568 is 86556770031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54748 + ... + 170331.

Almost surely, 2^13007765568 is an apocalyptic number.

It is an amenable number.

13007765568 is an abundant number, since it is smaller than the sum of its proper divisors (27240139712).

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

13007765568 is a wasteful number, since it uses less digits than its factorization.

13007765568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225144 (or 225134 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 13007765568 in words is "thirteen billion, seven million, seven hundred sixty-five thousand, five hundred sixty-eight".