82327311360 has 1232 divisors, whose sum is σ = 355688292096. Its totient is φ = 17868128256.

The previous prime is 82327311349. The next prime is 82327311377. The reversal of 82327311360 is 6311372328.

82327311360 is a `hidden beast` number, since 8 + 23 + 273 + 1 + 1 + 360 = 666.

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 600929212 + ... + 600929348.

Almost surely, 2^82327311360 is an apocalyptic number.

82327311360 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 82327311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177844146048).

82327311360 is an abundant number, since it is smaller than the sum of its proper divisors (273360980736).

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

82327311360 is a wasteful number, since it uses less digits than its factorization.

82327311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 82327311360 its reverse (6311372328), we get a palindrome (88638683688).

The spelling of 82327311360 in words is "eighty-two billion, three hundred twenty-seven million, three hundred eleven thousand, three hundred sixty".