20005032300 has 144 divisors (see below), whose sum is σ = 65320819200. Its totient is φ = 4682451200.

The previous prime is 20005032293. The next prime is 20005032331. The reversal of 20005032300 is 323050002.

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 20005032300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8820 + ... + 200219.

It is an arithmetic number, because the mean of its divisors is an integer number (453616800).

Almost surely, 2^20005032300 is an apocalyptic number.

20005032300 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 20005032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32660409600).

20005032300 is an abundant number, since it is smaller than the sum of its proper divisors (45315786900).

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

20005032300 is a wasteful number, since it uses less digits than its factorization.

20005032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209096 (or 209089 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 20005032300 its reverse (323050002), we get a palindrome (20328082302).

The spelling of 20005032300 in words is "twenty billion, five million, thirty-two thousand, three hundred".