827959283712 has 520 divisors, whose sum is σ = 2791602887040. Its totient is φ = 242214174720.

The previous prime is 827959283699. The next prime is 827959283713. The reversal of 827959283712 is 217382959728.

827959283712 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 592 + 8 + 37 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 827959283712.

It is not an unprimeable number, because it can be changed into a prime (827959283713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105832633 + ... + 105840455.

Almost surely, 2^827959283712 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 827959283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395801443520).

827959283712 is an abundant number, since it is smaller than the sum of its proper divisors (1963643603328).

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

827959283712 is a wasteful number, since it uses less digits than its factorization.

827959283712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7868 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 827959283712 in words is "eight hundred twenty-seven billion, nine hundred fifty-nine million, two hundred eighty-three thousand, seven hundred twelve".