22506509280 has 192 divisors, whose sum is σ = 75011650560. Its totient is φ = 5656541184.

The previous prime is 22506509243. The next prime is 22506509323. The reversal of 22506509280 is 8290560522.

It is a super-2 number, since 2×22506509280² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1790377 + ... + 1802903.

It is an arithmetic number, because the mean of its divisors is an integer number (390685680).

Almost surely, 2^22506509280 is an apocalyptic number.

22506509280 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 22506509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37505825280).

22506509280 is an abundant number, since it is smaller than the sum of its proper divisors (52505141280).

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

22506509280 is a wasteful number, since it uses less digits than its factorization.

22506509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12753 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 22506509280 in words is "twenty-two billion, five hundred six million, five hundred nine thousand, two hundred eighty".