82005210162 has 90 divisors (see below), whose sum is σ = 186227168589. Its totient is φ = 26971801200.

The previous prime is 82005210149. The next prime is 82005210163. The reversal of 82005210162 is 26101250028.

It is a happy number.

82005210162 is a `hidden beast` number, since 82 + 0 + 0 + 521 + 0 + 1 + 62 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67376065761 + 14629144401 = 259569^2 + 120951^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202491.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82005210163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 543080787 + ... + 543080937.

Almost surely, 2^82005210162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82005210162

82005210162 is an abundant number, since it is smaller than the sum of its proper divisors (104221958427).

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

82005210162 is an equidigital number, since it uses as much as digits as its factorization.

82005210162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 82005210162 in words is "eighty-two billion, five million, two hundred ten thousand, one hundred sixty-two".