200608368312000 has 1792 divisors, whose sum is σ = 750571121664000. Its totient is φ = 46790164480000.

The previous prime is 200608368311977. The next prime is 200608368312007. The reversal of 200608368312000 is 213863806002.

It is a self number, because there is not a number n which added to its sum of digits gives 200608368312000.

It is not an unprimeable number, because it can be changed into a prime (200608368312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 279010247641 + ... + 279010248359.

It is an arithmetic number, because the mean of its divisors is an integer number (418845492000).

Almost surely, 2^{200608368312000} is an apocalyptic number.

200608368312000 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 200608368312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375285560832000).

200608368312000 is an abundant number, since it is smaller than the sum of its proper divisors (549962753352000).

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

200608368312000 is a wasteful number, since it uses less digits than its factorization.

200608368312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 200608368312000 in words is "two hundred trillion, six hundred eight billion, three hundred sixty-eight million, three hundred twelve thousand".