82187974320 has 320 divisors, whose sum is σ = 272468275200. Its totient is φ = 20456755200.

The previous prime is 82187974289. The next prime is 82187974333. The reversal of 82187974320 is 2347978128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30225921 + ... + 30228639.

It is an arithmetic number, because the mean of its divisors is an integer number (851463360).

Almost surely, 2^82187974320 is an apocalyptic number.

82187974320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82187974320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136234137600).

82187974320 is an abundant number, since it is smaller than the sum of its proper divisors (190280300880).

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

82187974320 is a wasteful number, since it uses less digits than its factorization.

82187974320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 82187974320 in words is "eighty-two billion, one hundred eighty-seven million, nine hundred seventy-four thousand, three hundred twenty".