13040985760 has 192 divisors, whose sum is σ = 34836480000. Its totient is φ = 4570444800.

The previous prime is 13040985757. The next prime is 13040985781. The reversal of 13040985760 is 6758904031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26133991 + ... + 26134489.

It is an arithmetic number, because the mean of its divisors is an integer number (181440000).

Almost surely, 2^13040985760 is an apocalyptic number.

13040985760 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 13040985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240000).

13040985760 is an abundant number, since it is smaller than the sum of its proper divisors (21795494240).

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

13040985760 is a wasteful number, since it uses less digits than its factorization.

13040985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 13040985760 in words is "thirteen billion, forty million, nine hundred eighty-five thousand, seven hundred sixty".