82092173220 has 240 divisors, whose sum is σ = 266370306048. Its totient is φ = 21142321920.

The previous prime is 82092173213. The next prime is 82092173231. The reversal of 82092173220 is 2237129028.

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

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 79 ways as a sum of consecutive naturals, for example, 30482194 + ... + 30484886.

Almost surely, 2^82092173220 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 82092173220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133185153024).

82092173220 is an abundant number, since it is smaller than the sum of its proper divisors (184278132828).

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

82092173220 is a wasteful number, since it uses less digits than its factorization.

82092173220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 82092173220 in words is "eighty-two billion, ninety-two million, one hundred seventy-three thousand, two hundred twenty".