22727295360 has 2048 divisors, whose sum is σ = 112803840000. Its totient is φ = 4180377600.

The previous prime is 22727295323. The next prime is 22727295377. The reversal of 22727295360 is 6359272722.

22727295360 is a `hidden beast` number, since 22 + 72 + 7 + 29 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 733138545 + ... + 733138575.

It is an arithmetic number, because the mean of its divisors is an integer number (55080000).

Almost surely, 2^22727295360 is an apocalyptic number.

22727295360 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 22727295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56401920000).

22727295360 is an abundant number, since it is smaller than the sum of its proper divisors (90076544640).

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

22727295360 is a wasteful number, since it uses less digits than its factorization.

22727295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 22727295360 in words is "twenty-two billion, seven hundred twenty-seven million, two hundred ninety-five thousand, three hundred sixty".