13104918336960 has 1344 divisors, whose sum is σ = 49195586119680. Its totient is φ = 3195480637440.

The previous prime is 13104918336949. The next prime is 13104918336973. The reversal of 13104918336960 is 6963381940131.

13104918336960 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 49 + 183 + 369 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13104918336897 and 13104918336906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14841356679 + ... + 14841357561.

It is an arithmetic number, because the mean of its divisors is an integer number (36603858720).

Almost surely, 2^{13104918336960} is an apocalyptic number.

13104918336960 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 13104918336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24597793059840).

13104918336960 is an abundant number, since it is smaller than the sum of its proper divisors (36090667782720).

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

13104918336960 is a wasteful number, since it uses less digits than its factorization.

13104918336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 13104918336960 in words is "thirteen trillion, one hundred four billion, nine hundred eighteen million, three hundred thirty-six thousand, nine hundred sixty".