866306484120 has 768 divisors, whose sum is σ = 3371291320320. Its totient is φ = 174192353280.

The previous prime is 866306484059. The next prime is 866306484137. The reversal of 866306484120 is 21484603668.

It is a self number, because there is not a number n which added to its sum of digits gives 866306484120.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 838631124 + ... + 838632156.

It is an arithmetic number, because the mean of its divisors is an integer number (4389702240).

Almost surely, 2^866306484120 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 866306484120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685645660160).

866306484120 is an abundant number, since it is smaller than the sum of its proper divisors (2504984836200).

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

866306484120 is a wasteful number, since it uses less digits than its factorization.

866306484120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 866306484120 in words is "eight hundred sixty-six billion, three hundred six million, four hundred eighty-four thousand, one hundred twenty".