22820580288 has 168 divisors, whose sum is σ = 71452770480. Its totient is φ = 6906101760.

The previous prime is 22820580271. The next prime is 22820580301. The reversal of 22820580288 is 88208502822.

22820580288 is a `hidden beast` number, since 2 + 28 + 20 + 580 + 28 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5884206 + ... + 5888082.

It is an arithmetic number, because the mean of its divisors is an integer number (425314110).

Almost surely, 2^22820580288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22820580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35726385240).

22820580288 is an abundant number, since it is smaller than the sum of its proper divisors (48632190192).

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

22820580288 is a wasteful number, since it uses less digits than its factorization.

22820580288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 22820580288 in words is "twenty-two billion, eight hundred twenty million, five hundred eighty thousand, two hundred eighty-eight".