13513809536640 has 384 divisors, whose sum is σ = 55675519819200. Its totient is φ = 3088870557696.

The previous prime is 13513809536639. The next prime is 13513809536663. The reversal of 13513809536640 is 4663590831531.

13513809536640 is a `hidden beast` number, since 1 + 3 + 513 + 8 + 0 + 95 + 36 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7133374 + ... + 8826813.

Almost surely, 2^{13513809536640} is an apocalyptic number.

13513809536640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13513809536640 is an abundant number, since it is smaller than the sum of its proper divisors (42161710282560).

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

13513809536640 is a wasteful number, since it uses less digits than its factorization.

13513809536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960229 (or 15960204 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 13513809536640 in words is "thirteen trillion, five hundred thirteen billion, eight hundred nine million, five hundred thirty-six thousand, six hundred forty".