809886382032 has 320 divisors, whose sum is σ = 2706144573440. Its totient is φ = 202988685312.

The previous prime is 809886382001. The next prime is 809886382033. The reversal of 809886382032 is 230283688908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809886382033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6891219 + ... + 7007757.

It is an arithmetic number, because the mean of its divisors is an integer number (8456701792).

Almost surely, 2^809886382032 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 809886382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353072286720).

809886382032 is an abundant number, since it is smaller than the sum of its proper divisors (1896258191408).

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

809886382032 is a wasteful number, since it uses less digits than its factorization.

809886382032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116650 (or 116644 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 809886382032 in words is "eight hundred nine billion, eight hundred eighty-six million, three hundred eighty-two thousand, thirty-two".