82766133598128 has 80 divisors (see below), whose sum is σ = 221196605591520. Its totient is φ = 26636021665792.

The previous prime is 82766133598063. The next prime is 82766133598147. The reversal of 82766133598128 is 82189533166728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26049850 + ... + 29053862.

It is an arithmetic number, because the mean of its divisors is an integer number (2764957569894).

Almost surely, 2^{82766133598128} is an apocalyptic number.

It is an amenable number.

82766133598128 is an abundant number, since it is smaller than the sum of its proper divisors (138430471993392).

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

82766133598128 is a wasteful number, since it uses less digits than its factorization.

82766133598128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023846 (or 3023840 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 82766133598128 in words is "eighty-two trillion, seven hundred sixty-six billion, one hundred thirty-three million, five hundred ninety-eight thousand, one hundred twenty-eight".