13521199104 has 560 divisors, whose sum is σ = 47956841856. Its totient is φ = 3715891200.

The previous prime is 13521199099. The next prime is 13521199117. The reversal of 13521199104 is 40199112531.

13521199104 is a `hidden beast` number, since 13 + 521 + 19 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190439389 + ... + 190439459.

Almost surely, 2^13521199104 is an apocalyptic number.

13521199104 is a gapful number since it is divisible by the number (14) 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 13521199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978420928).

13521199104 is an abundant number, since it is smaller than the sum of its proper divisors (34435642752).

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

13521199104 is an frugal number, since it uses more digits than its factorization.

13521199104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 13521199104 in words is "thirteen billion, five hundred twenty-one million, one hundred ninety-nine thousand, one hundred four".