22585801920 has 336 divisors, whose sum is σ = 79494180864. Its totient is φ = 5428684800.

The previous prime is 22585801891. The next prime is 22585801921. The reversal of 22585801920 is 2910858522.

It is not an unprimeable number, because it can be changed into a prime (22585801921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14751555 + ... + 14753085.

It is an arithmetic number, because the mean of its divisors is an integer number (236589824).

Almost surely, 2^22585801920 is an apocalyptic number.

22585801920 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 22585801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39747090432).

22585801920 is an abundant number, since it is smaller than the sum of its proper divisors (56908378944).

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

22585801920 is a wasteful number, since it uses less digits than its factorization.

22585801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 22585801920 in words is "twenty-two billion, five hundred eighty-five million, eight hundred one thousand, nine hundred twenty".