22020051216564 has 144 divisors (see below), whose sum is σ = 58898125278720. Its totient is φ = 6925296967680.

The previous prime is 22020051216563. The next prime is 22020051216571. The reversal of 22020051216564 is 46561215002022.

22020051216564 is a `hidden beast` number, since 2 + 2 + 0 + 20 + 0 + 51 + 21 + 6 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020051216563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31102537 + ... + 31802639.

It is an arithmetic number, because the mean of its divisors is an integer number (409014758880).

Almost surely, 2^{22020051216564} 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 22020051216564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29449062639360).

22020051216564 is an abundant number, since it is smaller than the sum of its proper divisors (36878074062156).

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

22020051216564 is a wasteful number, since it uses less digits than its factorization.

22020051216564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700830 (or 700825 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 22020051216564 its reverse (46561215002022), we get a palindrome (68581266218586).

The spelling of 22020051216564 in words is "twenty-two trillion, twenty billion, fifty-one million, two hundred sixteen thousand, five hundred sixty-four".