82185352704 has 1440 divisors, whose sum is σ = 331622587296. Its totient is φ = 20065812480.

The previous prime is 82185352703. The next prime is 82185352729. The reversal of 82185352704 is 40725358128.

82185352704 is a `hidden beast` number, since 82 + 18 + 535 + 27 + 0 + 4 = 666.

It is a super-2 number, since 2×82185352704² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82185352704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82185352703) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1347300834 + ... + 1347300894.

Almost surely, 2^82185352704 is an apocalyptic number.

82185352704 is a gapful number since it is divisible by the number (84) 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 82185352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811293648).

82185352704 is an abundant number, since it is smaller than the sum of its proper divisors (249437234592).

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

82185352704 is a wasteful number, since it uses less digits than its factorization.

82185352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 82185352704 in words is "eighty-two billion, one hundred eighty-five million, three hundred fifty-two thousand, seven hundred four".