20641129200 has 360 divisors, whose sum is σ = 75611633760. Its totient is φ = 5203968000.

The previous prime is 20641129183. The next prime is 20641129211. The reversal of 20641129200 is 292114602.

20641129200 is a `hidden beast` number, since 2 + 0 + 641 + 12 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 7367800 + ... + 7370600.

It is an arithmetic number, because the mean of its divisors is an integer number (210032316).

Almost surely, 2^20641129200 is an apocalyptic number.

20641129200 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 20641129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37805816880).

20641129200 is an abundant number, since it is smaller than the sum of its proper divisors (54970504560).

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

20641129200 is a wasteful number, since it uses less digits than its factorization.

20641129200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20641129200 in words is "twenty billion, six hundred forty-one million, one hundred twenty-nine thousand, two hundred".