22056412492800 has 1584 divisors, whose sum is σ = 95516288649600. Its totient is φ = 5040978001920.

The previous prime is 22056412492799. The next prime is 22056412492801. The reversal of 22056412492800 is 829421465022.

22056412492800 is a `hidden beast` number, since 2 + 2 + 0 + 564 + 1 + 2 + 4 + 9 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22056412492799) and next prime (22056412492801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22056412492801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2133729232 + ... + 2133739568.

Almost surely, 2^{22056412492800} is an apocalyptic number.

22056412492800 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 22056412492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47758144324800).

22056412492800 is an abundant number, since it is smaller than the sum of its proper divisors (73459876156800).

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

22056412492800 is an equidigital number, since it uses as much as digits as its factorization.

22056412492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22056412492800 in words is "twenty-two trillion, fifty-six billion, four hundred twelve million, four hundred ninety-two thousand, eight hundred".