13111409198160 has 1600 divisors, whose sum is σ = 57456802529280. Its totient is φ = 2697642455040.

The previous prime is 13111409198159. The next prime is 13111409198171. The reversal of 13111409198160 is 6189190411131.

It is a happy number.

13111409198160 is a `hidden beast` number, since 1 + 31 + 11 + 409 + 198 + 16 + 0 = 666.

13111409198160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3866530065 + ... + 3866533455.

Almost surely, 2^{13111409198160} is an apocalyptic number.

13111409198160 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 13111409198160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728401264640).

13111409198160 is an abundant number, since it is smaller than the sum of its proper divisors (44345393331120).

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

13111409198160 is a wasteful number, since it uses less digits than its factorization.

13111409198160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 13111409198160 in words is "thirteen trillion, one hundred eleven billion, four hundred nine million, one hundred ninety-eight thousand, one hundred sixty".