82319397888 has 1056 divisors, whose sum is σ = 301087825920. Its totient is φ = 19756154880.

The previous prime is 82319397871. The next prime is 82319397907. The reversal of 82319397888 is 88879391328.

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 95 ways as a sum of consecutive naturals, for example, 1395244003 + ... + 1395244061.

Almost surely, 2^82319397888 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 82319397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543912960).

82319397888 is an abundant number, since it is smaller than the sum of its proper divisors (218768428032).

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

82319397888 is a wasteful number, since it uses less digits than its factorization.

82319397888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 66.

The spelling of 82319397888 in words is "eighty-two billion, three hundred nineteen million, three hundred ninety-seven thousand, eight hundred eighty-eight".