21929292800 has 264 divisors, whose sum is σ = 59007395160. Its totient is φ = 8047820800.

The previous prime is 21929292769. The next prime is 21929292821. The reversal of 21929292800 is 829292912.

It can be written as a sum of positive squares in 12 ways, for example, as 2347208704 + 19582084096 = 48448^2 + 139936^2 .

It is a congruent number.

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, 17842586 + ... + 17843814.

Almost surely, 2^21929292800 is an apocalyptic number.

21929292800 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 21929292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29503697580).

21929292800 is an abundant number, since it is smaller than the sum of its proper divisors (37078102360).

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

21929292800 is a wasteful number, since it uses less digits than its factorization.

21929292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 21929292800 in words is "twenty-one billion, nine hundred twenty-nine million, two hundred ninety-two thousand, eight hundred".