22507849728 has 864 divisors, whose sum is σ = 85642764480. Its totient is φ = 5852528640.

The previous prime is 22507849717. The next prime is 22507849733. The reversal of 22507849728 is 82794870522.

22507849728 is a `hidden beast` number, since 22 + 507 + 8 + 4 + 97 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317011933 + ... + 317012003.

It is an arithmetic number, because the mean of its divisors is an integer number (99123570).

Almost surely, 2^22507849728 is an apocalyptic number.

22507849728 is a gapful number since it is divisible by the number (28) 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 22507849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42821382240).

22507849728 is an abundant number, since it is smaller than the sum of its proper divisors (63134914752).

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

22507849728 is an equidigital number, since it uses as much as digits as its factorization.

22507849728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 22507849728 in words is "twenty-two billion, five hundred seven million, eight hundred forty-nine thousand, seven hundred twenty-eight".