200068946309200 has 240 divisors, whose sum is σ = 510167589148800. Its totient is φ = 75138525020160.

The previous prime is 200068946309189. The next prime is 200068946309269. The reversal of 200068946309200 is 2903649860002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10924959244 + ... + 10924977556.

It is an arithmetic number, because the mean of its divisors is an integer number (2125698288120).

Almost surely, 2^{200068946309200} is an apocalyptic number.

200068946309200 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 200068946309200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255083794574400).

200068946309200 is an abundant number, since it is smaller than the sum of its proper divisors (310098642839600).

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

200068946309200 is a wasteful number, since it uses less digits than its factorization.

200068946309200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22134 (or 22123 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 200068946309200 in words is "two hundred trillion, sixty-eight billion, nine hundred forty-six million, three hundred nine thousand, two hundred".