82166234076300 has 144 divisors (see below), whose sum is σ = 259355137208832. Its totient is φ = 19918424697600.

The previous prime is 82166234076299. The next prime is 82166234076301. The reversal of 82166234076300 is 367043266128.

It is an interprime number because it is at equal distance from previous prime (82166234076299) and next prime (82166234076301).

It is a self number, because there is not a number n which added to its sum of digits gives 82166234076300.

It is not an unprimeable number, because it can be changed into a prime (82166234076301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102736557 + ... + 103533243.

It is an arithmetic number, because the mean of its divisors is an integer number (1801077341728).

Almost surely, 2^{82166234076300} is an apocalyptic number.

It is an amenable number.

82166234076300 is an abundant number, since it is smaller than the sum of its proper divisors (177188903132532).

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

82166234076300 is a wasteful number, since it uses less digits than its factorization.

82166234076300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827968 (or 827961 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 82166234076300 in words is "eighty-two trillion, one hundred sixty-six billion, two hundred thirty-four million, seventy-six thousand, three hundred".