13136571348480 has 480 divisors, whose sum is σ = 47051434729728. Its totient is φ = 3383717068800.

The previous prime is 13136571348463. The next prime is 13136571348493. The reversal of 13136571348480 is 8484317563131.

13136571348480 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 65 + 71 + 34 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 386386842 + ... + 386420838.

Almost surely, 2^{13136571348480} is an apocalyptic number.

13136571348480 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 13136571348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525717364864).

13136571348480 is an abundant number, since it is smaller than the sum of its proper divisors (33914863381248).

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

13136571348480 is a wasteful number, since it uses less digits than its factorization.

13136571348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34598 (or 34579 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13136571348480 in words is "thirteen trillion, one hundred thirty-six billion, five hundred seventy-one million, three hundred forty-eight thousand, four hundred eighty".