82695108096 has 240 divisors, whose sum is σ = 246042564768. Its totient is φ = 26721484800.

The previous prime is 82695108073. The next prime is 82695108101. The reversal of 82695108096 is 69080159628.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31549666 + ... + 31552286.

Almost surely, 2^82695108096 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 82695108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123021282384).

82695108096 is an abundant number, since it is smaller than the sum of its proper divisors (163347456672).

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

82695108096 is a wasteful number, since it uses less digits than its factorization.

82695108096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 82695108096 in words is "eighty-two billion, six hundred ninety-five million, one hundred eight thousand, ninety-six".