22553798400000 has 2592 divisors, whose sum is σ = 96999606784080. Its totient is φ = 5031936000000.

The previous prime is 22553798399989. The next prime is 22553798400013. The reversal of 22553798400000 is 489735522.

22553798400000 is a `hidden beast` number, since 2 + 2 + 553 + 7 + 98 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 172166399935 + ... + 172166400065.

Almost surely, 2^{22553798400000} is an apocalyptic number.

22553798400000 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 22553798400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48499803392040).

22553798400000 is an abundant number, since it is smaller than the sum of its proper divisors (74445808384080).

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

22553798400000 is an equidigital number, since it uses as much as digits as its factorization.

22553798400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22553798400000 in words is "twenty-two trillion, five hundred fifty-three billion, seven hundred ninety-eight million, four hundred thousand".