82186958304 has 144 divisors (see below), whose sum is σ = 255359744640. Its totient is φ = 24866714880.

The previous prime is 82186958267. The next prime is 82186958323. The reversal of 82186958304 is 40385968128.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82186958304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2068029 + ... + 2107395.

It is an arithmetic number, because the mean of its divisors is an integer number (1773331560).

Almost surely, 2^82186958304 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 82186958304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127679872320).

82186958304 is an abundant number, since it is smaller than the sum of its proper divisors (173172786336).

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

82186958304 is a wasteful number, since it uses less digits than its factorization.

82186958304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40053 (or 40042 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 82186958304 in words is "eighty-two billion, one hundred eighty-six million, nine hundred fifty-eight thousand, three hundred four".