13338056160 has 576 divisors, whose sum is σ = 55477094400. Its totient is φ = 2983495680.

The previous prime is 13338056141. The next prime is 13338056177. The reversal of 13338056160 is 6165083331.

It is a happy number.

13338056160 is a `hidden beast` number, since 1 + 3 + 3 + 38 + 0 + 5 + 616 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 5558641 + ... + 5561039.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 2^13338056160 is an apocalyptic number.

13338056160 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 13338056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738547200).

13338056160 is an abundant number, since it is smaller than the sum of its proper divisors (42139038240).

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

13338056160 is a wasteful number, since it uses less digits than its factorization.

13338056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13338056160 in words is "thirteen billion, three hundred thirty-eight million, fifty-six thousand, one hundred sixty".