22826409984000 has 2176 divisors, whose sum is σ = 100815535042560. Its totient is φ = 4982833152000.

The previous prime is 22826409983989. The next prime is 22826409984031. The reversal of 22826409984000 is 48990462822.

22826409984000 is a `hidden beast` number, since 228 + 2 + 6 + 4 + 0 + 9 + 9 + 8 + 400 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35610623680 + ... + 35610624320.

Almost surely, 2^{22826409984000} is an apocalyptic number.

22826409984000 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 22826409984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50407767521280).

22826409984000 is an abundant number, since it is smaller than the sum of its proper divisors (77989125058560).

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

22826409984000 is an frugal number, since it uses more digits than its factorization.

22826409984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 22826409984000 in words is "twenty-two trillion, eight hundred twenty-six billion, four hundred nine million, nine hundred eighty-four thousand".