21930268800 has 192 divisors, whose sum is σ = 78799822560. Its totient is φ = 5316403200.

The previous prime is 21930268777. The next prime is 21930268813. The reversal of 21930268800 is 886203912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764 + ... + 209436.

Almost surely, 2^21930268800 is an apocalyptic number.

21930268800 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 21930268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39399911280).

21930268800 is an abundant number, since it is smaller than the sum of its proper divisors (56869553760).

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

21930268800 is a wasteful number, since it uses less digits than its factorization.

21930268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207711 (or 207694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 21930268800 in words is "twenty-one billion, nine hundred thirty million, two hundred sixty-eight thousand, eight hundred".