22585221120 has 1008 divisors, whose sum is σ = 95385233664. Its totient is φ = 4541644800.

The previous prime is 22585221079. The next prime is 22585221137. The reversal of 22585221120 is 2112258522.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 728555505 + ... + 728555535.

It is an arithmetic number, because the mean of its divisors is an integer number (94628208).

Almost surely, 2^22585221120 is an apocalyptic number.

22585221120 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 22585221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47692616832).

22585221120 is an abundant number, since it is smaller than the sum of its proper divisors (72800012544).

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

22585221120 is a wasteful number, since it uses less digits than its factorization.

22585221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 22585221120 its reverse (2112258522), we get a palindrome (24697479642).

The spelling of 22585221120 in words is "twenty-two billion, five hundred eighty-five million, two hundred twenty-one thousand, one hundred twenty".