22208975769600 has 351 divisors, whose sum is σ = 79563982704843. Its totient is φ = 5921187102720.

The previous prime is 22208975769593. The next prime is 22208975769601. The reversal of 22208975769600 is 696757980222.

The square root of 22208975769600 is 4712640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6223308558336 + 15985667211264 = 2494656^2 + 3998208^2 .

It is not an unprimeable number, because it can be changed into a prime (22208975769601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4524131946 + ... + 4524136854.

Almost surely, 2^{22208975769600} is an apocalyptic number.

22208975769600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22208975769600 is the 4712640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22208975769600

22208975769600 is an abundant number, since it is smaller than the sum of its proper divisors (57355006935243).

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

22208975769600 is an frugal number, since it uses more digits than its factorization.

22208975769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 22208975769600 in words is "twenty-two trillion, two hundred eight billion, nine hundred seventy-five million, seven hundred sixty-nine thousand, six hundred".