21322552451200 has 768 divisors, whose sum is σ = 72057240541440. Its totient is φ = 6018962227200.

The previous prime is 21322552451159. The next prime is 21322552451257. The reversal of 21322552451200 is 215425522312.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169706802 + ... + 169832398.

It is an arithmetic number, because the mean of its divisors is an integer number (93824531955).

Almost surely, 2^{21322552451200} is an apocalyptic number.

21322552451200 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 21322552451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36028620270720).

21322552451200 is an abundant number, since it is smaller than the sum of its proper divisors (50734688090240).

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

21322552451200 is a wasteful number, since it uses less digits than its factorization.

21322552451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125705 (or 125688 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 21322552451200 its reverse (215425522312), we get a palindrome (21537977973512).

The spelling of 21322552451200 in words is "twenty-one trillion, three hundred twenty-two billion, five hundred fifty-two million, four hundred fifty-one thousand, two hundred".