21022132320 has 576 divisors, whose sum is σ = 84234608640. Its totient is φ = 4675276800.

The previous prime is 21022132309. The next prime is 21022132333. The reversal of 21022132320 is 2323122012.

21022132320 is a `hidden beast` number, since 210 + 2 + 2 + 132 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21022132293 and 21022132302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110063425 + ... + 110063615.

It is an arithmetic number, because the mean of its divisors is an integer number (146240640).

Almost surely, 2^21022132320 is an apocalyptic number.

21022132320 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 21022132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42117304320).

21022132320 is an abundant number, since it is smaller than the sum of its proper divisors (63212476320).

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

21022132320 is a wasteful number, since it uses less digits than its factorization.

21022132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21022132320 its reverse (2323122012), we get a palindrome (23345254332).

The spelling of 21022132320 in words is "twenty-one billion, twenty-two million, one hundred thirty-two thousand, three hundred twenty".