22079567894272 has 144 divisors (see below), whose sum is σ = 51126581157120. Its totient is φ = 9321378103296.

The previous prime is 22079567894207. The next prime is 22079567894273. The reversal of 22079567894272 is 27249876597022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22079567894273) 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 15 ways as a sum of consecutive naturals, for example, 32672379 + ... + 33341317.

It is an arithmetic number, because the mean of its divisors is an integer number (355045702480).

Almost surely, 2^{22079567894272} 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 22079567894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25563290578560).

22079567894272 is an abundant number, since it is smaller than the sum of its proper divisors (29047013262848).

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

22079567894272 is a wasteful number, since it uses less digits than its factorization.

22079567894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669238 (or 669224 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 70.

The spelling of 22079567894272 in words is "twenty-two trillion, seventy-nine billion, five hundred sixty-seven million, eight hundred ninety-four thousand, two hundred seventy-two".