21822752920320 has 1080 divisors, whose sum is σ = 86511988265472. Its totient is φ = 5248324730880.

The previous prime is 21822752920307. The next prime is 21822752920327. The reversal of 21822752920320 is 2302925722812.

21822752920320 is a `hidden beast` number, since 2 + 1 + 82 + 2 + 7 + 529 + 20 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21822752920327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1593243712 + ... + 1593257408.

Almost surely, 2^{21822752920320} is an apocalyptic number.

21822752920320 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 21822752920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43255994132736).

21822752920320 is an abundant number, since it is smaller than the sum of its proper divisors (64689235345152).

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

21822752920320 is a wasteful number, since it uses less digits than its factorization.

21822752920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13879 (or 13845 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21822752920320 in words is "twenty-one trillion, eight hundred twenty-two billion, seven hundred fifty-two million, nine hundred twenty thousand, three hundred twenty".