13221107606592 has 896 divisors, whose sum is σ = 43460442009600. Its totient is φ = 3922185535488.

The previous prime is 13221107606587. The next prime is 13221107606647. The reversal of 13221107606592 is 29560670112231.

13221107606592 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 10 + 7 + 606 + 5 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20561597823 + ... + 20561598465.

It is an arithmetic number, because the mean of its divisors is an integer number (48504957600).

Almost surely, 2^{13221107606592} is an apocalyptic number.

13221107606592 is a gapful number since it is divisible by the number (12) 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 13221107606592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21730221004800).

13221107606592 is an abundant number, since it is smaller than the sum of its proper divisors (30239334403008).

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

13221107606592 is a wasteful number, since it uses less digits than its factorization.

13221107606592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13221107606592 in words is "thirteen trillion, two hundred twenty-one billion, one hundred seven million, six hundred six thousand, five hundred ninety-two".