22125920256 has 240 divisors, whose sum is σ = 71531671680. Its totient is φ = 6703349760.

The previous prime is 22125920251. The next prime is 22125920263. The reversal of 22125920256 is 65202952122.

It is a happy number.

22125920256 is a `hidden beast` number, since 2 + 2 + 12 + 592 + 0 + 2 + 56 = 666.

It is a super-2 number, since 2×22125920256² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22125920256.

It is not an unprimeable number, because it can be changed into a prime (22125920251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863775 + ... + 4868321.

It is an arithmetic number, because the mean of its divisors is an integer number (298048632).

Almost surely, 2^22125920256 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 22125920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35765835840).

22125920256 is an abundant number, since it is smaller than the sum of its proper divisors (49405751424).

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

22125920256 is an equidigital number, since it uses as much as digits as its factorization.

22125920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 22125920256 in words is "twenty-two billion, one hundred twenty-five million, nine hundred twenty thousand, two hundred fifty-six".