22866409797120 has 1440 divisors, whose sum is σ = 87755015462400. Its totient is φ = 5697364967424.

The previous prime is 22866409797079. The next prime is 22866409797151. The reversal of 22866409797120 is 2179790466822.

22866409797120 is a `hidden beast` number, since 2 + 286 + 64 + 0 + 97 + 97 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25211035707 + ... + 25211036613.

It is an arithmetic number, because the mean of its divisors is an integer number (60940982960).

Almost surely, 2^{22866409797120} is an apocalyptic number.

22866409797120 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 22866409797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43877507731200).

22866409797120 is an abundant number, since it is smaller than the sum of its proper divisors (64888605665280).

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

22866409797120 is an frugal number, since it uses more digits than its factorization.

22866409797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 22866409797120 in words is "twenty-two trillion, eight hundred sixty-six billion, four hundred nine million, seven hundred ninety-seven thousand, one hundred twenty".