22705869588480 has 2592 divisors, whose sum is σ = 92636413800840. Its totient is φ = 5134299955200.

The previous prime is 22705869588419. The next prime is 22705869588499. The reversal of 22705869588480 is 8488596850722.

It is a happy number.

22705869588480 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 5 + 8 + 69 + 5 + 88 + 480 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 343714857984 + 22362154730496 = 586272^2 + 4728864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22705869588399 and 22705869588408.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 553801697260 + ... + 553801697300.

Almost surely, 2^{22705869588480} is an apocalyptic number.

22705869588480 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 22705869588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46318206900420).

22705869588480 is an abundant number, since it is smaller than the sum of its proper divisors (69930544212360).

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

22705869588480 is a wasteful number, since it uses less digits than its factorization.

22705869588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 22705869588480 in words is "twenty-two trillion, seven hundred five billion, eight hundred sixty-nine million, five hundred eighty-eight thousand, four hundred eighty".