22890568553856 has 288 divisors, whose sum is σ = 68426754931080. Its totient is φ = 7627203440640.

The previous prime is 22890568553777. The next prime is 22890568553893. The reversal of 22890568553856 is 65835586509822.

22890568553856 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 0 + 5 + 6 + 85 + 538 + 5 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3561622515 + ... + 3561628941.

Almost surely, 2^{22890568553856} 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 22890568553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34213377465540).

22890568553856 is an abundant number, since it is smaller than the sum of its proper divisors (45536186377224).

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

22890568553856 is an frugal number, since it uses more digits than its factorization.

22890568553856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10706 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 1244160000, while the sum is 72.

The spelling of 22890568553856 in words is "twenty-two trillion, eight hundred ninety billion, five hundred sixty-eight million, five hundred fifty-three thousand, eight hundred fifty-six".