20322320338320 has 2560 divisors, whose sum is σ = 91635734937600. Its totient is φ = 3586763980800.

The previous prime is 20322320338303. The next prime is 20322320338343. The reversal of 20322320338320 is 2383302322302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 23658114051 + ... + 23658114909.

It is an arithmetic number, because the mean of its divisors is an integer number (35795208960).

Almost surely, 2^{20322320338320} is an apocalyptic number.

20322320338320 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 20322320338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45817867468800).

20322320338320 is an abundant number, since it is smaller than the sum of its proper divisors (71313414599280).

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

20322320338320 is a wasteful number, since it uses less digits than its factorization.

20322320338320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The spelling of 20322320338320 in words is "twenty trillion, three hundred twenty-two billion, three hundred twenty million, three hundred thirty-eight thousand, three hundred twenty".