20320012320000 has 360 divisors, whose sum is σ = 69909824070240. Its totient is φ = 5231815680000.

The previous prime is 20320012319977. The next prime is 20320012320011. The reversal of 20320012320000 is 2321002302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 13190115 + ... + 14649885.

Almost surely, 2^{20320012320000} is an apocalyptic number.

20320012320000 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 20320012320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34954912035120).

20320012320000 is an abundant number, since it is smaller than the sum of its proper divisors (49589811750240).

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

20320012320000 is an equidigital number, since it uses as much as digits as its factorization.

20320012320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459839 (or 1459810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20320012320000 its reverse (2321002302), we get a palindrome (20322333322302).

The spelling of 20320012320000 in words is "twenty trillion, three hundred twenty billion, twelve million, three hundred twenty thousand".