22506068480 has 480 divisors, whose sum is σ = 67351046400. Its totient is φ = 7207280640.

The previous prime is 22506068467. The next prime is 22506068503. The reversal of 22506068480 is 8486060522.

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 47 ways as a sum of consecutive naturals, for example, 316986845 + ... + 316986915.

It is an arithmetic number, because the mean of its divisors is an integer number (140314680).

Almost surely, 2^22506068480 is an apocalyptic number.

22506068480 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 22506068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33675523200).

22506068480 is an abundant number, since it is smaller than the sum of its proper divisors (44844977920).

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

22506068480 is an frugal number, since it uses more digits than its factorization.

22506068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 22506068480 in words is "twenty-two billion, five hundred six million, sixty-eight thousand, four hundred eighty".