20320211320200 has 576 divisors, whose sum is σ = 74707866604800. Its totient is φ = 4908808396800.

The previous prime is 20320211320187. The next prime is 20320211320207. The reversal of 20320211320200 is 202311202302.

20320211320200 is a `hidden beast` number, since 2 + 0 + 320 + 2 + 1 + 1 + 320 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20320211320207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11890116946 + ... + 11890118654.

It is an arithmetic number, because the mean of its divisors is an integer number (129701157300).

Almost surely, 2^{20320211320200} is an apocalyptic number.

20320211320200 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 20320211320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37353933302400).

20320211320200 is an abundant number, since it is smaller than the sum of its proper divisors (54387655284600).

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

20320211320200 is a wasteful number, since it uses less digits than its factorization.

20320211320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20320211320200 its reverse (202311202302), we get a palindrome (20522522522502).

The spelling of 20320211320200 in words is "twenty trillion, three hundred twenty billion, two hundred eleven million, three hundred twenty thousand, two hundred".