200601608800 has 72 divisors (see below), whose sum is σ = 490224920472. Its totient is φ = 80157696000.

The previous prime is 200601608789. The next prime is 200601608803. The reversal of 200601608800 is 8806106002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200601608803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 647680 + ... + 905920.

It is an arithmetic number, because the mean of its divisors is an integer number (6808679451).

Almost surely, 2^200601608800 is an apocalyptic number.

200601608800 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 200601608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245112460236).

200601608800 is an abundant number, since it is smaller than the sum of its proper divisors (289623311672).

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

200601608800 is a wasteful number, since it uses less digits than its factorization.

200601608800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259232 (or 259219 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 200601608800 in words is "two hundred billion, six hundred one million, six hundred eight thousand, eight hundred".