13155016896 has 336 divisors, whose sum is σ = 45044563200. Its totient is φ = 3728747520.

The previous prime is 13155016883. The next prime is 13155016913. The reversal of 13155016896 is 69861055131.

13155016896 is a `hidden beast` number, since 1 + 3 + 1 + 550 + 1 + 6 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16220331 + ... + 16221141.

It is an arithmetic number, because the mean of its divisors is an integer number (134061200).

Almost surely, 2^13155016896 is an apocalyptic number.

13155016896 is a gapful number since it is divisible by the number (16) 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 13155016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522281600).

13155016896 is an abundant number, since it is smaller than the sum of its proper divisors (31889546304).

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

13155016896 is an equidigital number, since it uses as much as digits as its factorization.

13155016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 13155016896 in words is "thirteen billion, one hundred fifty-five million, sixteen thousand, eight hundred ninety-six".