22010643607680 has 3456 divisors, whose sum is σ = 102076514280000. Its totient is φ = 4343245111296.

The previous prime is 22010643607669. The next prime is 22010643607739. The reversal of 22010643607680 is 8670634601022.

22010643607680 is a `hidden beast` number, since 2 + 20 + 10 + 6 + 4 + 3 + 607 + 6 + 8 + 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 431 ways as a sum of consecutive naturals, for example, 135034623279 + ... + 135034623441.

Almost surely, 2^{22010643607680} is an apocalyptic number.

22010643607680 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 22010643607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51038257140000).

22010643607680 is an abundant number, since it is smaller than the sum of its proper divisors (80065870672320).

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

22010643607680 is a wasteful number, since it uses less digits than its factorization.

22010643607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22010643607680 in words is "twenty-two trillion, ten billion, six hundred forty-three million, six hundred seven thousand, six hundred eighty".