13089290760 has 768 divisors, whose sum is σ = 58401907200. Its totient is φ = 2460450816.

The previous prime is 13089290759. The next prime is 13089290771. The reversal of 13089290760 is 6709298031.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10580862 + ... + 10582098.

It is an arithmetic number, because the mean of its divisors is an integer number (76044150).

Almost surely, 2^13089290760 is an apocalyptic number.

13089290760 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 13089290760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29200953600).

13089290760 is an abundant number, since it is smaller than the sum of its proper divisors (45312616440).

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

13089290760 is a wasteful number, since it uses less digits than its factorization.

13089290760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13089290760 in words is "thirteen billion, eighty-nine million, two hundred ninety thousand, seven hundred sixty".