200010009966 has 64 divisors (see below), whose sum is σ = 441679887936. Its totient is φ = 59988556800.

The previous prime is 200010009949. The next prime is 200010009967. The reversal of 200010009966 is 669900010002.

It is a happy number.

200010009966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010009967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3750360 + ... + 3803316.

It is an arithmetic number, because the mean of its divisors is an integer number (6901248249).

Almost surely, 2^200010009966 is an apocalyptic number.

200010009966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200010009966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220839943968).

200010009966 is an abundant number, since it is smaller than the sum of its proper divisors (241669877970).

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

200010009966 is a wasteful number, since it uses less digits than its factorization.

200010009966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54197.

The product of its (nonzero) digits is 5832, while the sum is 33.

Adding to 200010009966 its reverse (669900010002), we get a palindrome (869910019968).

The spelling of 200010009966 in words is "two hundred billion, ten million, nine thousand, nine hundred sixty-six".