13185668528 has 40 divisors (see below), whose sum is σ = 26743931136. Its totient is φ = 6285857600.

The previous prime is 13185668527. The next prime is 13185668543. The reversal of 13185668528 is 82586658131.

It is a happy number.

13185668528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13185668528.

It is not an unprimeable number, because it can be changed into a prime (13185668527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56843 + ... + 172053.

Almost surely, 2^13185668528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13185668528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371965568).

13185668528 is an abundant number, since it is smaller than the sum of its proper divisors (13558262608).

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

13185668528 is a wasteful number, since it uses less digits than its factorization.

13185668528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115553 (or 115547 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 53.

The spelling of 13185668528 in words is "thirteen billion, one hundred eighty-five million, six hundred sixty-eight thousand, five hundred twenty-eight".