82566726784300 has 72 divisors (see below), whose sum is σ = 196657089515712. Its totient is φ = 29840066280000.

The previous prime is 82566726784231. The next prime is 82566726784303. The reversal of 82566726784300 is 348762766528.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82566726784303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230068126 + ... + 230426725.

It is an arithmetic number, because the mean of its divisors is an integer number (2731348465496).

Almost surely, 2^{82566726784300} is an apocalyptic number.

It is an amenable number.

82566726784300 is an abundant number, since it is smaller than the sum of its proper divisors (114090362731412).

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

82566726784300 is a wasteful number, since it uses less digits than its factorization.

82566726784300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460495039 (or 460495032 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 64.

The spelling of 82566726784300 in words is "eighty-two trillion, five hundred sixty-six billion, seven hundred twenty-six million, seven hundred eighty-four thousand, three hundred".