21322400000 has 216 divisors, whose sum is σ = 58058659008. Its totient is φ = 7750400000.

The previous prime is 21322399961. The next prime is 21322400023. The reversal of 21322400000 is 422312.

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, 8798789 + ... + 8801211.

It is an arithmetic number, because the mean of its divisors is an integer number (268790088).

Almost surely, 2^21322400000 is an apocalyptic number.

21322400000 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 21322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29029329504).

21322400000 is an abundant number, since it is smaller than the sum of its proper divisors (36736259008).

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

21322400000 is an frugal number, since it uses more digits than its factorization.

21322400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 21322400000 its reverse (422312), we get a palindrome (21322822312).

The spelling of 21322400000 in words is "twenty-one billion, three hundred twenty-two million, four hundred thousand".