82680011136 has 192 divisors, whose sum is σ = 240940299600. Its totient is φ = 27212451840.

The previous prime is 82680011111. The next prime is 82680011177. The reversal of 82680011136 is 63111008628.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82680011136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31543906 + ... + 31546526.

Almost surely, 2^82680011136 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 82680011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120470149800).

82680011136 is an abundant number, since it is smaller than the sum of its proper divisors (158260288464).

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

82680011136 is a wasteful number, since it uses less digits than its factorization.

82680011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 82680011136 in words is "eighty-two billion, six hundred eighty million, eleven thousand, one hundred thirty-six".