13064993832960 has 1224 divisors, whose sum is σ = 48292721979840. Its totient is φ = 3391695618048.

The previous prime is 13064993832941. The next prime is 13064993832991. The reversal of 13064993832960 is 6923839946031.

13064993832960 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 499 + 3 + 83 + 2 + 9 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126844600269 + ... + 126844600371.

Almost surely, 2^{13064993832960} is an apocalyptic number.

13064993832960 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 13064993832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24146360989920).

13064993832960 is an abundant number, since it is smaller than the sum of its proper divisors (35227728146880).

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

13064993832960 is an frugal number, since it uses more digits than its factorization.

13064993832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 13064993832960 in words is "thirteen trillion, sixty-four billion, nine hundred ninety-three million, eight hundred thirty-two thousand, nine hundred sixty".