82809060288192 has 560 divisors, whose sum is σ = 287494761153600. Its totient is φ = 23558069735424.

The previous prime is 82809060288187. The next prime is 82809060288209. The reversal of 82809060288192 is 29188206090828.

82809060288192 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 9 + 0 + 602 + 8 + 8 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 414200158 + ... + 414400034.

It is an arithmetic number, because the mean of its divisors is an integer number (513383502060).

Almost surely, 2^{82809060288192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82809060288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143747380576800).

82809060288192 is an abundant number, since it is smaller than the sum of its proper divisors (204685700865408).

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

82809060288192 is a wasteful number, since it uses less digits than its factorization.

82809060288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200155 (or 200122 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 82809060288192 in words is "eighty-two trillion, eight hundred nine billion, sixty million, two hundred eighty-eight thousand, one hundred ninety-two".