22766265849600 has 5832 divisors, whose sum is σ = 115027600418640. Its totient is φ = 4245034106880.

The previous prime is 22766265849517. The next prime is 22766265849601. The reversal of 22766265849600 is 694856266722.

It is a happy number.

22766265849600 is a `hidden beast` number, since 2 + 2 + 76 + 6 + 26 + 58 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22766265849601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 201471379144 + ... + 201471379256.

Almost surely, 2^{22766265849600} is an apocalyptic number.

22766265849600 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 22766265849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513800209320).

22766265849600 is an abundant number, since it is smaller than the sum of its proper divisors (92261334569040).

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

22766265849600 is a wasteful number, since it uses less digits than its factorization.

22766265849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 22766265849600 in words is "twenty-two trillion, seven hundred sixty-six billion, two hundred sixty-five million, eight hundred forty-nine thousand, six hundred".