20320027200 has 672 divisors, whose sum is σ = 82249914240. Its totient is φ = 4838400000.

The previous prime is 20320027199. The next prime is 20320027229. The reversal of 20320027200 is 272002302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28986850 + ... + 28987550.

Almost surely, 2^20320027200 is an apocalyptic number.

20320027200 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 20320027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41124957120).

20320027200 is an abundant number, since it is smaller than the sum of its proper divisors (61929887040).

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

20320027200 is a wasteful number, since it uses less digits than its factorization.

20320027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 20320027200 its reverse (272002302), we get a palindrome (20592029502).

It can be divided in two parts, 203200 and 27200, that added together give a square (230400 = 480²).

The spelling of 20320027200 in words is "twenty billion, three hundred twenty million, twenty-seven thousand, two hundred".