13155816960 has 800 divisors, whose sum is σ = 55357394400. Its totient is φ = 2943959040.

The previous prime is 13155816941. The next prime is 13155816997. The reversal of 13155816960 is 6961855131.

13155816960 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 581 + 6 + 9 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1011985914 + ... + 1011985926.

It is an arithmetic number, because the mean of its divisors is an integer number (69196743).

Almost surely, 2^13155816960 is an apocalyptic number.

13155816960 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 13155816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27678697200).

13155816960 is an abundant number, since it is smaller than the sum of its proper divisors (42201577440).

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

13155816960 is an frugal number, since it uses more digits than its factorization.

13155816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

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

The spelling of 13155816960 in words is "thirteen billion, one hundred fifty-five million, eight hundred sixteen thousand, nine hundred sixty".