22116900052800 has 4536 divisors, whose sum is σ = 104590248771840. Its totient is φ = 4571242905600.

The previous prime is 22116900052799. The next prime is 22116900052813. The reversal of 22116900052800 is 825000961122.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 302971233564 + ... + 302971233636.

Almost surely, 2^{22116900052800} is an apocalyptic number.

22116900052800 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 22116900052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52295124385920).

22116900052800 is an abundant number, since it is smaller than the sum of its proper divisors (82473348719040).

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

22116900052800 is an equidigital number, since it uses as much as digits as its factorization.

22116900052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 22116900052800 in words is "twenty-two trillion, one hundred sixteen billion, nine hundred million, fifty-two thousand, eight hundred".