22665648775800 has 768 divisors, whose sum is σ = 76396161761280. Its totient is φ = 5538226176000.

The previous prime is 22665648775751. The next prime is 22665648775801. The reversal of 22665648775800 is 857784656622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22665648775801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25844524962 + ... + 25844525838.

It is an arithmetic number, because the mean of its divisors is an integer number (99474168960).

Almost surely, 2^{22665648775800} is an apocalyptic number.

22665648775800 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 22665648775800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38198080880640).

22665648775800 is an abundant number, since it is smaller than the sum of its proper divisors (53730512985480).

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

22665648775800 is a wasteful number, since it uses less digits than its factorization.

22665648775800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 66.

The spelling of 22665648775800 in words is "twenty-two trillion, six hundred sixty-five billion, six hundred forty-eight million, seven hundred seventy-five thousand, eight hundred".