82112838896 has 80 divisors (see below), whose sum is σ = 177873615360. Its totient is φ = 36407055360.

The previous prime is 82112838889. The next prime is 82112838917. The reversal of 82112838896 is 69883821128.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118456 + ... + 1189608.

It is an arithmetic number, because the mean of its divisors is an integer number (2223420192).

Almost surely, 2^82112838896 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 82112838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88936807680).

82112838896 is an abundant number, since it is smaller than the sum of its proper divisors (95760776464).

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

82112838896 is a wasteful number, since it uses less digits than its factorization.

82112838896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71334 (or 71328 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 56.

The spelling of 82112838896 in words is "eighty-two billion, one hundred twelve million, eight hundred thirty-eight thousand, eight hundred ninety-six".