21564424224000 has 1728 divisors, whose sum is σ = 93863306933760. Its totient is φ = 4643802316800.

The previous prime is 21564424223971. The next prime is 21564424224011. The reversal of 21564424224000 is 42242446512.

21564424224000 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 4 + 4 + 242 + 2 + 400 + 0 = 666.

It is a super-2 number, since 2×21564424224000² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7392670542 + ... + 7392673458.

Almost surely, 2^{21564424224000} is an apocalyptic number.

21564424224000 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 21564424224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46931653466880).

21564424224000 is an abundant number, since it is smaller than the sum of its proper divisors (72298882709760).

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

21564424224000 is a wasteful number, since it uses less digits than its factorization.

21564424224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 21564424224000 in words is "twenty-one trillion, five hundred sixty-four billion, four hundred twenty-four million, two hundred twenty-four thousand".