22507913760768 has 1040 divisors, whose sum is σ = 73246179308544. Its totient is φ = 6860030607360.

The previous prime is 22507913760733. The next prime is 22507913760781. The reversal of 22507913760768 is 86706731970522.

22507913760768 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 7 + 9 + 13 + 7 + 607 + 6 + 8 = 666.

It is a congruent number.

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, 52222537513 + ... + 52222537943.

Almost surely, 2^{22507913760768} 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 22507913760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36623089654272).

22507913760768 is an abundant number, since it is smaller than the sum of its proper divisors (50738265547776).

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

22507913760768 is a wasteful number, since it uses less digits than its factorization.

22507913760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 22507913760768 in words is "twenty-two trillion, five hundred seven billion, nine hundred thirteen million, seven hundred sixty thousand, seven hundred sixty-eight".