22540065924096 has 880 divisors, whose sum is σ = 77915593113600. Its totient is φ = 6357601861632.

The previous prime is 22540065924043. The next prime is 22540065924157. The reversal of 22540065924096 is 69042956004522.

22540065924096 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 0 + 0 + 6 + 592 + 40 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17623193985 + ... + 17623195263.

It is an arithmetic number, because the mean of its divisors is an integer number (88540446720).

Almost surely, 2^{22540065924096} 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 22540065924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38957796556800).

22540065924096 is an abundant number, since it is smaller than the sum of its proper divisors (55375527189504).

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

22540065924096 is a wasteful number, since it uses less digits than its factorization.

22540065924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 22540065924096 in words is "twenty-two trillion, five hundred forty billion, sixty-five million, nine hundred twenty-four thousand, ninety-six".