22563833973120 has 2304 divisors, whose sum is σ = 94666706164800. Its totient is φ = 5137086873600.

The previous prime is 22563833973097. The next prime is 22563833973133. The reversal of 22563833973120 is 2137933836522.

22563833973120 is a `hidden beast` number, since 2 + 2 + 56 + 3 + 83 + 397 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 48945409690 + ... + 48945410150.

Almost surely, 2^{22563833973120} is an apocalyptic number.

22563833973120 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 22563833973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47333353082400).

22563833973120 is an abundant number, since it is smaller than the sum of its proper divisors (72102872191680).

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

22563833973120 is an equidigital number, since it uses as much as digits as its factorization.

22563833973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 22563833973120 in words is "twenty-two trillion, five hundred sixty-three billion, eight hundred thirty-three million, nine hundred seventy-three thousand, one hundred twenty".