208890617200 has 120 divisors (see below), whose sum is σ = 511655743008. Its totient is φ = 81927306240.

The previous prime is 208890617189. The next prime is 208890617203. The reversal of 208890617200 is 2716098802.

208890617200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208890617203) 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 23 ways as a sum of consecutive naturals, for example, 61202694 + ... + 61206106.

Almost surely, 2^208890617200 is an apocalyptic number.

208890617200 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 208890617200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255827871504).

208890617200 is an abundant number, since it is smaller than the sum of its proper divisors (302765125808).

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

208890617200 is a wasteful number, since it uses less digits than its factorization.

208890617200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 208890617200 in words is "two hundred eight billion, eight hundred ninety million, six hundred seventeen thousand, two hundred".