82185183360 has 768 divisors, whose sum is σ = 350374896000. Its totient is φ = 18132000768.

The previous prime is 82185183359. The next prime is 82185183391. The reversal of 82185183360 is 6338158128.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 24553207 + ... + 24556553.

Almost surely, 2^82185183360 is an apocalyptic number.

82185183360 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 82185183360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175187448000).

82185183360 is an abundant number, since it is smaller than the sum of its proper divisors (268189712640).

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

82185183360 is a wasteful number, since it uses less digits than its factorization.

82185183360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 82185183360 in words is "eighty-two billion, one hundred eighty-five million, one hundred eighty-three thousand, three hundred sixty".