13212159279264 has 144 divisors (see below), whose sum is σ = 40989404907360. Its totient is φ = 4003520186880.

The previous prime is 13212159279197. The next prime is 13212159279329. The reversal of 13212159279264 is 46297295121231.

13212159279264 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 21 + 592 + 7 + 9 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13212159279264² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13212159279264.

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 23 ways as a sum of consecutive naturals, for example, 93033399 + ... + 93175305.

It is an arithmetic number, because the mean of its divisors is an integer number (284648645190).

Almost surely, 2^{13212159279264} is an apocalyptic number.

It is an amenable number.

13212159279264 is an abundant number, since it is smaller than the sum of its proper divisors (27777245628096).

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

13212159279264 is a wasteful number, since it uses less digits than its factorization.

13212159279264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171323 (or 171312 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13212159279264 in words is "thirteen trillion, two hundred twelve billion, one hundred fifty-nine million, two hundred seventy-nine thousand, two hundred sixty-four".