22465225160 has 128 divisors (see below), whose sum is σ = 60553543680. Its totient is φ = 7333970688.

The previous prime is 22465225109. The next prime is 22465225177. The reversal of 22465225160 is 6152256422.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22465225160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428299 + ... + 1443941.

It is an arithmetic number, because the mean of its divisors is an integer number (473074560).

Almost surely, 2^22465225160 is an apocalyptic number.

22465225160 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 22465225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30276771840).

22465225160 is an abundant number, since it is smaller than the sum of its proper divisors (38088318520).

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

22465225160 is a wasteful number, since it uses less digits than its factorization.

22465225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15907 (or 15903 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 22465225160 in words is "twenty-two billion, four hundred sixty-five million, two hundred twenty-five thousand, one hundred sixty".