13008561760 has 24 divisors (see below), whose sum is σ = 30732727536. Its totient is φ = 5203424640.

The previous prime is 13008561751. The next prime is 13008561779. The reversal of 13008561760 is 6716580031.

13008561760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40651596 + ... + 40651915.

It is an arithmetic number, because the mean of its divisors is an integer number (1280530314).

Almost surely, 2^13008561760 is an apocalyptic number.

13008561760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13008561760 is an abundant number, since it is smaller than the sum of its proper divisors (17724165776).

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

13008561760 is an equidigital number, since it uses as much as digits as its factorization.

13008561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81303526 (or 81303518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 13008561760 in words is "thirteen billion, eight million, five hundred sixty-one thousand, seven hundred sixty".