13353966080 has 480 divisors, whose sum is σ = 42319791360. Its totient is φ = 3994583040.

The previous prime is 13353966001. The next prime is 13353966167. The reversal of 13353966080 is 8066935331.

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, 30983465 + ... + 30983895.

It is an arithmetic number, because the mean of its divisors is an integer number (88166232).

Almost surely, 2^13353966080 is an apocalyptic number.

13353966080 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 13353966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159895680).

13353966080 is an abundant number, since it is smaller than the sum of its proper divisors (28965825280).

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

13353966080 is a wasteful number, since it uses less digits than its factorization.

13353966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 13353966080 in words is "thirteen billion, three hundred fifty-three million, nine hundred sixty-six thousand, eighty".