82668038801000 has 128 divisors (see below), whose sum is σ = 198194184115200. Its totient is φ = 32262054572800.

The previous prime is 82668038800871. The next prime is 82668038801017. The reversal of 82668038801000 is 10883086628.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 82668038801000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5130089 + ... + 13843911.

It is an arithmetic number, because the mean of its divisors is an integer number (1548392063400).

Almost surely, 2^{82668038801000} 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 82668038801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99097092057600).

82668038801000 is an abundant number, since it is smaller than the sum of its proper divisors (115526145314200).

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

82668038801000 is a wasteful number, since it uses less digits than its factorization.

82668038801000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714076 (or 8714062 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 82668038801000 in words is "eighty-two trillion, six hundred sixty-eight billion, thirty-eight million, eight hundred one thousand".