13506639936660 has 576 divisors, whose sum is σ = 47834530248960. Its totient is φ = 3144819686400.

The previous prime is 13506639936659. The next prime is 13506639936689. The reversal of 13506639936660 is 6663993660531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1776484419 + ... + 1776492021.

It is an arithmetic number, because the mean of its divisors is an integer number (83046059460).

Almost surely, 2^{13506639936660} is an apocalyptic number.

13506639936660 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 13506639936660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23917265124480).

13506639936660 is an abundant number, since it is smaller than the sum of its proper divisors (34327890312300).

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

13506639936660 is a wasteful number, since it uses less digits than its factorization.

13506639936660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8373 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 63.

The spelling of 13506639936660 in words is "thirteen trillion, five hundred six billion, six hundred thirty-nine million, nine hundred thirty-six thousand, six hundred sixty".