6117171200 has 336 divisors, whose sum is σ = 18429695424. Its totient is φ = 1966080000.

The previous prime is 6117171169. The next prime is 6117171209. The reversal of 6117171200 is 21717116.

It is a self number, because there is not a number n which added to its sum of digits gives 6117171200.

It is not an unprimeable number, because it can be changed into a prime (6117171209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24371075 + ... + 24371325.

It is an arithmetic number, because the mean of its divisors is an integer number (54850284).

Almost surely, 2^6117171200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6117171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214847712).

6117171200 is an abundant number, since it is smaller than the sum of its proper divisors (12312524224).

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

6117171200 is a wasteful number, since it uses less digits than its factorization.

6117171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 26.

The square root of 6117171200 is about 78212.3468513763. The cubic root of 6117171200 is about 1828.8729859805.

Adding to 6117171200 its reverse (21717116), we get a palindrome (6138888316).

The spelling of 6117171200 in words is "six billion, one hundred seventeen million, one hundred seventy-one thousand, two hundred".