22759041320 has 64 divisors (see below), whose sum is σ = 54039484800. Its totient is φ = 8602640640.

The previous prime is 22759041281. The next prime is 22759041359. The reversal of 22759041320 is 2314095722.

It is a happy number.

It is a Cunningham number, because it is equal to 150861²-1.

It is an interprime number because it is at equal distance from previous prime (22759041281) and next prime (22759041359).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264005 + ... + 339435.

It is an arithmetic number, because the mean of its divisors is an integer number (844366950).

Almost surely, 2^22759041320 is an apocalyptic number.

22759041320 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 22759041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019742400).

22759041320 is an abundant number, since it is smaller than the sum of its proper divisors (31280443480).

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

22759041320 is a wasteful number, since it uses less digits than its factorization.

22759041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75858 (or 75854 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 22759041320 in words is "twenty-two billion, seven hundred fifty-nine million, forty-one thousand, three hundred twenty".