20032033200 has 180 divisors, whose sum is σ = 64653627528. Its totient is φ = 5301836800.

The previous prime is 20032033199. The next prime is 20032033247. The reversal of 20032033200 is 233023002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20032033200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38448940 + ... + 38449460.

Almost surely, 2^20032033200 is an apocalyptic number.

20032033200 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 20032033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32326813764).

20032033200 is an abundant number, since it is smaller than the sum of its proper divisors (44621594328).

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

20032033200 is a wasteful number, since it uses less digits than its factorization.

20032033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 20032033200 its reverse (233023002), we get a palindrome (20265056202).

The spelling of 20032033200 in words is "twenty billion, thirty-two million, thirty-three thousand, two hundred".