827433263216 has 80 divisors (see below), whose sum is σ = 1881997830144. Its totient is φ = 344973987072.

The previous prime is 827433263207. The next prime is 827433263221. The reversal of 827433263216 is 612362334728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34146881 + ... + 34171103.

Almost surely, 2^827433263216 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 827433263216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940998915072).

827433263216 is an abundant number, since it is smaller than the sum of its proper divisors (1054564566928).

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

827433263216 is a wasteful number, since it uses less digits than its factorization.

827433263216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32518 (or 32512 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 47.

The spelling of 827433263216 in words is "eight hundred twenty-seven billion, four hundred thirty-three million, two hundred sixty-three thousand, two hundred sixteen".