20224004000200 has 768 divisors, whose sum is σ = 64409317539840. Its totient is φ = 5702234112000.

The previous prime is 20224004000147. The next prime is 20224004000237. The reversal of 20224004000200 is 200040042202.

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, 2000193145 + ... + 2000203255.

It is an arithmetic number, because the mean of its divisors is an integer number (83866298880).

Almost surely, 2^{20224004000200} is an apocalyptic number.

20224004000200 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 20224004000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32204658769920).

20224004000200 is an abundant number, since it is smaller than the sum of its proper divisors (44185313539640).

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

20224004000200 is a wasteful number, since it uses less digits than its factorization.

20224004000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20224004000200 its reverse (200040042202), we get a palindrome (20424044042402).

The spelling of 20224004000200 in words is "twenty trillion, two hundred twenty-four billion, four million, two hundred", and thus it is an aban number.