22689116012160 has 2560 divisors, whose sum is σ = 95636913926400. Its totient is φ = 5077223866368.

The previous prime is 22689116012149. The next prime is 22689116012177. The reversal of 22689116012160 is 6121061198622.

22689116012160 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 9 + 11 + 601 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39322557792 + ... + 39322558368.

Almost surely, 2^{22689116012160} is an apocalyptic number.

22689116012160 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 22689116012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47818456963200).

22689116012160 is an abundant number, since it is smaller than the sum of its proper divisors (72947797914240).

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

22689116012160 is a wasteful number, since it uses less digits than its factorization.

22689116012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 22689116012160 in words is "twenty-two trillion, six hundred eighty-nine billion, one hundred sixteen million, twelve thousand, one hundred sixty".