22059770160960 has 2688 divisors, whose sum is σ = 98813721600000. Its totient is φ = 4627529367552.

The previous prime is 22059770160899. The next prime is 22059770160971. The reversal of 22059770160960 is 6906107795022.

22059770160960 is a `hidden beast` number, since 2 + 20 + 5 + 9 + 7 + 7 + 0 + 1 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22059770160897 and 22059770160906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36827662741 + ... + 36827663339.

Almost surely, 2^{22059770160960} is an apocalyptic number.

22059770160960 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 22059770160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49406860800000).

22059770160960 is an abundant number, since it is smaller than the sum of its proper divisors (76753951439040).

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

22059770160960 is a wasteful number, since it uses less digits than its factorization.

22059770160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 22059770160960 in words is "twenty-two trillion, fifty-nine billion, seven hundred seventy million, one hundred sixty thousand, nine hundred sixty".