20436200820 has 576 divisors, whose sum is σ = 78460462080. Its totient is φ = 4197924864.

The previous prime is 20436200789. The next prime is 20436200887. The reversal of 20436200820 is 2800263402.

20436200820 is a `hidden beast` number, since 2 + 0 + 436 + 200 + 8 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103736962 + ... + 103737158.

It is an arithmetic number, because the mean of its divisors is an integer number (136216080).

Almost surely, 2^20436200820 is an apocalyptic number.

20436200820 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 20436200820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39230231040).

20436200820 is an abundant number, since it is smaller than the sum of its proper divisors (58024261260).

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

20436200820 is a wasteful number, since it uses less digits than its factorization.

20436200820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20436200820 in words is "twenty billion, four hundred thirty-six million, two hundred thousand, eight hundred twenty".