13508841160 has 128 divisors (see below), whose sum is σ = 33635347200. Its totient is φ = 4859965440.

The previous prime is 13508841133. The next prime is 13508841169. The reversal of 13508841160 is 6114880531.

It is a super-2 number, since 2×13508841160² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13508841169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391940 + ... + 2397580.

It is an arithmetic number, because the mean of its divisors is an integer number (262776150).

Almost surely, 2^13508841160 is an apocalyptic number.

13508841160 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 13508841160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817673600).

13508841160 is an abundant number, since it is smaller than the sum of its proper divisors (20126506040).

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

13508841160 is a wasteful number, since it uses less digits than its factorization.

13508841160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 13508841160 in words is "thirteen billion, five hundred eight million, eight hundred forty-one thousand, one hundred sixty".