21223494388800 has 3024 divisors, whose sum is σ = 93315976895232. Its totient is φ = 4519044710400.

The previous prime is 21223494388793. The next prime is 21223494388829. The reversal of 21223494388800 is 888349432212.

21223494388800 is a `hidden beast` number, since 2 + 122 + 3 + 4 + 9 + 438 + 8 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 66951086242 + ... + 66951086558.

It is an arithmetic number, because the mean of its divisors is an integer number (30858457968).

Almost surely, 2^{21223494388800} is an apocalyptic number.

21223494388800 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 21223494388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46657988447616).

21223494388800 is an abundant number, since it is smaller than the sum of its proper divisors (72092482506432).

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

21223494388800 is a wasteful number, since it uses less digits than its factorization.

21223494388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 21223494388800 in words is "twenty-one trillion, two hundred twenty-three billion, four hundred ninety-four million, three hundred eighty-eight thousand, eight hundred".