83406856806 has 96 divisors (see below), whose sum is σ = 222594677760. Its totient is φ = 21979968192.

The previous prime is 83406856783. The next prime is 83406856823. The reversal of 83406856806 is 60865860438.

83406856806 is a `hidden beast` number, since 83 + 406 + 85 + 6 + 80 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114775 + ... + 2153853.

It is an arithmetic number, because the mean of its divisors is an integer number (2318694560).

Almost surely, 2^83406856806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83406856806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111297338880).

83406856806 is an abundant number, since it is smaller than the sum of its proper divisors (139187820954).

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

83406856806 is a wasteful number, since it uses less digits than its factorization.

83406856806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40410 (or 40407 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 83406856806 in words is "eighty-three billion, four hundred six million, eight hundred fifty-six thousand, eight hundred six".