22288759360 has 168 divisors, whose sum is σ = 61932540600. Its totient is φ = 7618093056.

The previous prime is 22288759349. The next prime is 22288759369. The reversal of 22288759360 is 6395788222.

It can be written as a sum of positive squares in 4 ways, for example, as 1040449536 + 21248309824 = 32256^2 + 145768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22288759298 and 22288759307.

It is not an unprimeable number, because it can be changed into a prime (22288759369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5470284 + ... + 5474356.

It is an arithmetic number, because the mean of its divisors is an integer number (368646075).

Almost surely, 2^22288759360 is an apocalyptic number.

22288759360 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 22288759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30966270300).

22288759360 is an abundant number, since it is smaller than the sum of its proper divisors (39643781240).

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

22288759360 is a wasteful number, since it uses less digits than its factorization.

22288759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 22288759360 in words is "twenty-two billion, two hundred eighty-eight million, seven hundred fifty-nine thousand, three hundred sixty".