22504060320 has 768 divisors, whose sum is σ = 88519495680. Its totient is φ = 4696473600.

The previous prime is 22504060303. The next prime is 22504060343. The reversal of 22504060320 is 2306040522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 171786655 + ... + 171786785.

It is an arithmetic number, because the mean of its divisors is an integer number (115259760).

Almost surely, 2^22504060320 is an apocalyptic number.

22504060320 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 22504060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259747840).

22504060320 is an abundant number, since it is smaller than the sum of its proper divisors (66015435360).

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

22504060320 is a wasteful number, since it uses less digits than its factorization.

22504060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 22504060320 in words is "twenty-two billion, five hundred four million, sixty thousand, three hundred twenty".