20332300320 has 192 divisors, whose sum is σ = 71253181440. Its totient is φ = 5415081984.

The previous prime is 20332300319. The next prime is 20332300321. The reversal of 20332300320 is 2300323302.

20332300320 is a `hidden beast` number, since 2 + 0 + 332 + 300 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20332300319) and next prime (20332300321).

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 = 20332300293 and 20332300302.

It is not an unprimeable number, because it can be changed into a prime (20332300321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4045329 + ... + 4050351.

It is an arithmetic number, because the mean of its divisors is an integer number (371110320).

Almost surely, 2^20332300320 is an apocalyptic number.

20332300320 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 20332300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35626590720).

20332300320 is an abundant number, since it is smaller than the sum of its proper divisors (50920881120).

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

20332300320 is a wasteful number, since it uses less digits than its factorization.

20332300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20332300320 its reverse (2300323302), we get a palindrome (22632623622).

The spelling of 20332300320 in words is "twenty billion, three hundred thirty-two million, three hundred thousand, three hundred twenty".