20320321320 has 192 divisors, whose sum is σ = 71350690320. Its totient is φ = 4985782272.

The previous prime is 20320321309. The next prime is 20320321331. The reversal of 20320321320 is 2312302302.

It is a happy number.

20320321320 is a `hidden beast` number, since 2 + 0 + 3 + 20 + 321 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (20320321309) and next prime (20320321331).

It can be written as a sum of positive squares in 8 ways, for example, as 94361796 + 20225959524 = 9714^2 + 142218^2 .

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 = 20320321293 and 20320321302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1476712 + ... + 1490408.

Almost surely, 2^20320321320 is an apocalyptic number.

20320321320 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 20320321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675345160).

20320321320 is an abundant number, since it is smaller than the sum of its proper divisors (51030369000).

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

20320321320 is a wasteful number, since it uses less digits than its factorization.

20320321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044 (or 14037 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20320321320 its reverse (2312302302), we get a palindrome (22632623622).

The spelling of 20320321320 in words is "twenty billion, three hundred twenty million, three hundred twenty-one thousand, three hundred twenty".