82116509184 has 600 divisors, whose sum is σ = 271069916040. Its totient is φ = 24678162432.

The previous prime is 82116509131. The next prime is 82116509221. The reversal of 82116509184 is 48190561128.

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 59 ways as a sum of consecutive naturals, for example, 416834974 + ... + 416835170.

Almost surely, 2^82116509184 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 82116509184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135534958020).

82116509184 is an abundant number, since it is smaller than the sum of its proper divisors (188953406856).

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

82116509184 is a wasteful number, since it uses less digits than its factorization.

82116509184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 82116509184 in words is "eighty-two billion, one hundred sixteen million, five hundred nine thousand, one hundred eighty-four".