827842995882 has 144 divisors (see below), whose sum is σ = 2178003634560. Its totient is φ = 226161359424.

The previous prime is 827842995841. The next prime is 827842995929. The reversal of 827842995882 is 288599248728.

827842995882 is a `hidden beast` number, since 8 + 2 + 78 + 429 + 9 + 58 + 82 = 666.

827842995882 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 827842995882.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75438148 + ... + 75449120.

It is an arithmetic number, because the mean of its divisors is an integer number (15125025240).

Almost surely, 2^827842995882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827842995882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089001817280).

827842995882 is an abundant number, since it is smaller than the sum of its proper divisors (1350160638678).

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

827842995882 is a wasteful number, since it uses less digits than its factorization.

827842995882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14737 (or 14727 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 827842995882 in words is "eight hundred twenty-seven billion, eight hundred forty-two million, nine hundred ninety-five thousand, eight hundred eighty-two".