966086329000 has 128 divisors (see below), whose sum is σ = 2435246311680. Its totient is φ = 356604960000.

The previous prime is 966086328989. The next prime is 966086329001. The reversal of 966086329000 is 923680669.

966086329000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (966086329001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55670325 + ... + 55687675.

It is an arithmetic number, because the mean of its divisors is an integer number (19025361810).

Almost surely, 2^966086329000 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 966086329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217623155840).

966086329000 is an abundant number, since it is smaller than the sum of its proper divisors (1469159982680).

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

966086329000 is a wasteful number, since it uses less digits than its factorization.

966086329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21668 (or 21654 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The spelling of 966086329000 in words is "nine hundred sixty-six billion, eighty-six million, three hundred twenty-nine thousand".