832871688012 has 576 divisors, whose sum is σ = 2873259648000. Its totient is φ = 206082164736.

The previous prime is 832871688001. The next prime is 832871688067. The reversal of 832871688012 is 210886178238.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 832871688012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 443251689 + ... + 443253567.

It is an arithmetic number, because the mean of its divisors is an integer number (4988298000).

Almost surely, 2^832871688012 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 832871688012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436629824000).

832871688012 is an abundant number, since it is smaller than the sum of its proper divisors (2040387959988).

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

832871688012 is a wasteful number, since it uses less digits than its factorization.

832871688012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 832871688012 in words is "eight hundred thirty-two billion, eight hundred seventy-one million, six hundred eighty-eight thousand, twelve".