82195668128 has 96 divisors (see below), whose sum is σ = 190629661824. Its totient is φ = 34149952512.

The previous prime is 82195668127. The next prime is 82195668193. The reversal of 82195668128 is 82186659128.

It is a super-2 number, since 2×82195668128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (82195668127) 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 15 ways as a sum of consecutive naturals, for example, 2277875 + ... + 2313677.

It is an arithmetic number, because the mean of its divisors is an integer number (1985725644).

Almost surely, 2^82195668128 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 82195668128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95314830912).

82195668128 is an abundant number, since it is smaller than the sum of its proper divisors (108433993696).

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

82195668128 is a wasteful number, since it uses less digits than its factorization.

82195668128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36134 (or 36126 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 56.

The spelling of 82195668128 in words is "eighty-two billion, one hundred ninety-five million, six hundred sixty-eight thousand, one hundred twenty-eight".