22653878096160 has 720 divisors, whose sum is σ = 85724097427584. Its totient is φ = 5632442376192.

The previous prime is 22653878096153. The next prime is 22653878096203. The reversal of 22653878096160 is 6169087835622.

It is a happy number.

22653878096160 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 3 + 8 + 7 + 8 + 0 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 400733817 + ... + 400790343.

Almost surely, 2^{22653878096160} is an apocalyptic number.

22653878096160 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 22653878096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42862048713792).

22653878096160 is an abundant number, since it is smaller than the sum of its proper divisors (63070219331424).

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

22653878096160 is a wasteful number, since it uses less digits than its factorization.

22653878096160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56695 (or 56661 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 22653878096160 in words is "twenty-two trillion, six hundred fifty-three billion, eight hundred seventy-eight million, ninety-six thousand, one hundred sixty".