21344323200 has 192 divisors, whose sum is σ = 72204143520. Its totient is φ = 5537894400.

The previous prime is 21344323181. The next prime is 21344323207. The reversal of 21344323200 is 232344312.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21344323207) by changing a digit.

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, 325155 + ... + 385245.

Almost surely, 2^21344323200 is an apocalyptic number.

21344323200 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 21344323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36102071760).

21344323200 is an abundant number, since it is smaller than the sum of its proper divisors (50859820320).

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

21344323200 is a wasteful number, since it uses less digits than its factorization.

21344323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60155 (or 60138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21344323200 its reverse (232344312), we get a palindrome (21576667512).

The spelling of 21344323200 in words is "twenty-one billion, three hundred forty-four million, three hundred twenty-three thousand, two hundred".