82166348160 has 1792 divisors, whose sum is σ = 359609241600. Its totient is φ = 17736744960.

The previous prime is 82166348123. The next prime is 82166348167. The reversal of 82166348160 is 6184366128.

82166348160 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 634 + 8 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82166348167) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2650527345 + ... + 2650527375.

It is an arithmetic number, because the mean of its divisors is an integer number (200674800).

Almost surely, 2^82166348160 is an apocalyptic number.

82166348160 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 82166348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179804620800).

82166348160 is an abundant number, since it is smaller than the sum of its proper divisors (277442893440).

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

82166348160 is a wasteful number, since it uses less digits than its factorization.

82166348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 82166348160 in words is "eighty-two billion, one hundred sixty-six million, three hundred forty-eight thousand, one hundred sixty".