20322320000 has 160 divisors (see below), whose sum is σ = 51556449780. Its totient is φ = 7973888000.

The previous prime is 20322319993. The next prime is 20322320017. The reversal of 20322320000 is 2322302.

It can be written as a sum of positive squares in 10 ways, for example, as 24049216 + 20298270784 = 4904^2 + 142472^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4237604 + ... + 4242396.

Almost surely, 2^20322320000 is an apocalyptic number.

20322320000 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 20322320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25778224890).

20322320000 is an abundant number, since it is smaller than the sum of its proper divisors (31234129780).

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

20322320000 is an frugal number, since it uses more digits than its factorization.

20322320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 20322320000 its reverse (2322302), we get a palindrome (20324642302).

The spelling of 20322320000 in words is "twenty billion, three hundred twenty-two million, three hundred twenty thousand".