850111200 has 216 divisors, whose sum is σ = 3109441608. Its totient is φ = 226644480.

The previous prime is 850111183. The next prime is 850111217. The reversal of 850111200 is 2111058.

850111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (850111183) and next prime (850111217).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192214 + ... + 196586.

It is an arithmetic number, because the mean of its divisors is an integer number (14395563).

Almost surely, 2^850111200 is an apocalyptic number.

850111200 is a gapful number since it is divisible by the number (80) 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 850111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554720804).

850111200 is an abundant number, since it is smaller than the sum of its proper divisors (2259330408).

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

850111200 is a wasteful number, since it uses less digits than its factorization.

850111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 850111200 is about 29156.6664761251. Note that the first 3 decimals coincide. The cubic root of 850111200 is about 947.3095437094.

Adding to 850111200 its reverse (2111058), we get a palindrome (852222258).

It can be divided in two parts, 8501 and 11200, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 850111200 in words is "eight hundred fifty million, one hundred eleven thousand, two hundred".