22021265097216 has 2560 divisors, whose sum is σ = 86277220761600. Its totient is φ = 5450017996800.

The previous prime is 22021265097199. The next prime is 22021265097217. The reversal of 22021265097216 is 61279056212022.

22021265097216 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 126 + 509 + 7 + 2 + 16 = 666.

It is a super-2 number, since 2×22021265097216² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22021265097217) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 278750191065 + ... + 278750191143.

It is an arithmetic number, because the mean of its divisors is an integer number (33702039360).

Almost surely, 2^{22021265097216} 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 22021265097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43138610380800).

22021265097216 is an abundant number, since it is smaller than the sum of its proper divisors (64255955664384).

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

22021265097216 is an frugal number, since it uses more digits than its factorization.

22021265097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22021265097216 in words is "twenty-two trillion, twenty-one billion, two hundred sixty-five million, ninety-seven thousand, two hundred sixteen".