21992400000 has 576 divisors, whose sum is σ = 81574857000. Its totient is φ = 5683200000.

The previous prime is 21992399999. The next prime is 21992400007. The reversal of 21992400000 is 429912.

It can be written as a sum of positive squares in 12 ways, for example, as 19772859456 + 2219540544 = 140616^2 + 47112^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (21992400007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147599926 + ... + 147600074.

Almost surely, 2^21992400000 is an apocalyptic number.

21992400000 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 21992400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40787428500).

21992400000 is an abundant number, since it is smaller than the sum of its proper divisors (59582457000).

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

21992400000 is an equidigital number, since it uses as much as digits as its factorization.

21992400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 21992400000 its reverse (429912), we get a palindrome (21992829912).

The spelling of 21992400000 in words is "twenty-one billion, nine hundred ninety-two million, four hundred thousand".