20641134200 has 96 divisors (see below), whose sum is σ = 48860444160. Its totient is φ = 8107747200.

The previous prime is 20641134197. The next prime is 20641134281. The reversal of 20641134200 is 243114602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3731837 + ... + 3737363.

It is an arithmetic number, because the mean of its divisors is an integer number (508962960).

Almost surely, 2^20641134200 is an apocalyptic number.

20641134200 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 20641134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24430222080).

20641134200 is an abundant number, since it is smaller than the sum of its proper divisors (28219309960).

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

20641134200 is a wasteful number, since it uses less digits than its factorization.

20641134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 20641134200 its reverse (243114602), we get a palindrome (20884248802).

The spelling of 20641134200 in words is "twenty billion, six hundred forty-one million, one hundred thirty-four thousand, two hundred".