82169782225992 has 96 divisors (see below), whose sum is σ = 223464334204800. Its totient is φ = 27276762724992.

The previous prime is 82169782225943. The next prime is 82169782226003. The reversal of 82169782225992 is 29952228796128.

82169782225992 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 9 + 7 + 8 + 2 + 22 + 599 + 2 = 666.

82169782225992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82169782225992² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 82169782225992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16541623 + ... + 20927609.

It is an arithmetic number, because the mean of its divisors is an integer number (2327753481300).

Almost surely, 2^{82169782225992} is an apocalyptic number.

It is an amenable number.

82169782225992 is an abundant number, since it is smaller than the sum of its proper divisors (141294551978808).

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

82169782225992 is a wasteful number, since it uses less digits than its factorization.

82169782225992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387075 (or 4387068 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 82169782225992 in words is "eighty-two trillion, one hundred sixty-nine billion, seven hundred eighty-two million, two hundred twenty-five thousand, nine hundred ninety-two".