13065638976 has 84 divisors (see below), whose sum is σ = 40331110092. Its totient is φ = 4020194304.

The previous prime is 13065638959. The next prime is 13065639001. The reversal of 13065638976 is 67983656031.

13065638976 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 563 + 8 + 9 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5621400576 + 7444238400 = 74976^2 + 86280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864951 + ... + 879926.

It is an arithmetic number, because the mean of its divisors is an integer number (480132263).

Almost surely, 2^13065638976 is an apocalyptic number.

13065638976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13065638976 is an abundant number, since it is smaller than the sum of its proper divisors (27265471116).

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

13065638976 is a wasteful number, since it uses less digits than its factorization.

13065638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744908 (or 1744895 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13065638976 in words is "thirteen billion, sixty-five million, six hundred thirty-eight thousand, nine hundred seventy-six".