82190009128 has 32 divisors (see below), whose sum is σ = 156252657600. Its totient is φ = 40522889088.

The previous prime is 82190009113. The next prime is 82190009171.

82190009128 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3083683 + ... + 3110221.

It is an arithmetic number, because the mean of its divisors is an integer number (4882895550).

Almost surely, 2^82190009128 is an apocalyptic number.

It is an amenable number.

82190009128 is a deficient number, since it is larger than the sum of its proper divisors (74062648472).

82190009128 is a wasteful number, since it uses less digits than its factorization.

82190009128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31921 (or 31917 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 82190009128 in words is "eighty-two billion, one hundred ninety million, nine thousand, one hundred twenty-eight".