22533728256 has 480 divisors, whose sum is σ = 74474880480. Its totient is φ = 6772211712.

The previous prime is 22533728251. The next prime is 22533728279. The reversal of 22533728256 is 65282733522.

22533728256 is a `hidden beast` number, since 2 + 25 + 3 + 372 + 8 + 256 = 666.

Its product of digits (1209600) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (22533728251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524040171 + ... + 524040213.

It is an arithmetic number, because the mean of its divisors is an integer number (155156001).

Almost surely, 2^22533728256 is an apocalyptic number.

22533728256 is a gapful number since it is divisible by the number (26) 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 22533728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237440240).

22533728256 is an abundant number, since it is smaller than the sum of its proper divisors (51941152224).

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

22533728256 is an frugal number, since it uses more digits than its factorization.

22533728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 22533728256 in words is "twenty-two billion, five hundred thirty-three million, seven hundred twenty-eight thousand, two hundred fifty-six".