82180133321706 has 72 divisors (see below), whose sum is σ = 207468711665280. Its totient is φ = 23441355833616.

The previous prime is 82180133321701. The next prime is 82180133321731. The reversal of 82180133321706 is 60712333108128.

82180133321706 is a `hidden beast` number, since 8 + 21 + 80 + 1 + 333 + 217 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (82180133321701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76214836 + ... + 77285583.

It is an arithmetic number, because the mean of its divisors is an integer number (2881509884240).

Almost surely, 2^{82180133321706} is an apocalyptic number.

82180133321706 is an abundant number, since it is smaller than the sum of its proper divisors (125288578343574).

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

82180133321706 is a wasteful number, since it uses less digits than its factorization.

82180133321706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153501048 (or 153501038 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82180133321706 in words is "eighty-two trillion, one hundred eighty billion, one hundred thirty-three million, three hundred twenty-one thousand, seven hundred six".