22128226560 has 864 divisors, whose sum is σ = 88894181376. Its totient is φ = 5031936000.

The previous prime is 22128226513. The next prime is 22128226609. The reversal of 22128226560 is 6562282122.

22128226560 is a `hidden beast` number, since 2 + 2 + 12 + 82 + 2 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168917695 + ... + 168917825.

It is an arithmetic number, because the mean of its divisors is an integer number (102886784).

Almost surely, 2^22128226560 is an apocalyptic number.

22128226560 is a gapful number since it is divisible by the number (20) 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 22128226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44447090688).

22128226560 is an abundant number, since it is smaller than the sum of its proper divisors (66765954816).

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

22128226560 is a wasteful number, since it uses less digits than its factorization.

22128226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22128226560 in words is "twenty-two billion, one hundred twenty-eight million, two hundred twenty-six thousand, five hundred sixty".