22027566595680 has 288 divisors, whose sum is σ = 79846668064800. Its totient is φ = 5671464486912.

The previous prime is 22027566595663. The next prime is 22027566595703. The reversal of 22027566595680 is 8659566572022.

22027566595680 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 7 + 5 + 6 + 65 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601626 + ... + 6664614.

It is an arithmetic number, because the mean of its divisors is an integer number (277245375225).

Almost surely, 2^{22027566595680} is an apocalyptic number.

22027566595680 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 22027566595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39923334032400).

22027566595680 is an abundant number, since it is smaller than the sum of its proper divisors (57819101469120).

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

22027566595680 is a wasteful number, since it uses less digits than its factorization.

22027566595680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063071 (or 6063028 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 22027566595680 in words is "twenty-two trillion, twenty-seven billion, five hundred sixty-six million, five hundred ninety-five thousand, six hundred eighty".