866786513765984 has 96 divisors (see below), whose sum is σ = 1977490544129856. Its totient is φ = 366297602457600.

The previous prime is 866786513765941. The next prime is 866786513765989. The reversal of 866786513765984 is 489567315687668.

866786513765984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 866786513765984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866786513765989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57284384 + ... + 70817184.

It is an arithmetic number, because the mean of its divisors is an integer number (20598859834686).

Almost surely, 2^{866786513765984} 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 866786513765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988745272064928).

866786513765984 is an abundant number, since it is smaller than the sum of its proper divisors (1110704030363872).

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

866786513765984 is a wasteful number, since it uses less digits than its factorization.

866786513765984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13536808 (or 13536800 counting only the distinct ones).

The product of its digits is 87787929600, while the sum is 89.

The spelling of 866786513765984 in words is "eight hundred sixty-six trillion, seven hundred eighty-six billion, five hundred thirteen million, seven hundred sixty-five thousand, nine hundred eighty-four".