22540678272 has 768 divisors, whose sum is σ = 83941920000. Its totient is φ = 5824659456.

The previous prime is 22540678229. The next prime is 22540678289. The reversal of 22540678272 is 27287604522.

22540678272 is a `hidden beast` number, since 22 + 540 + 6 + 7 + 82 + 7 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 253266004 + ... + 253266092.

It is an arithmetic number, because the mean of its divisors is an integer number (109299375).

Almost surely, 2^22540678272 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 22540678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41970960000).

22540678272 is an abundant number, since it is smaller than the sum of its proper divisors (61401241728).

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

22540678272 is a wasteful number, since it uses less digits than its factorization.

22540678272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 22540678272 in words is "twenty-two billion, five hundred forty million, six hundred seventy-eight thousand, two hundred seventy-two".