82120716322600 has 24 divisors (see below), whose sum is σ = 190930665450510. Its totient is φ = 32848286528960.

The previous prime is 82120716322583. The next prime is 82120716322607. The reversal of 82120716322600 is 622361702128.

It can be written as a sum of positive squares in 3 ways, for example, as 63137040757924 + 18983675564676 = 7945882^2 + 4357026^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82120716322607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205301790607 + ... + 205301791006.

Almost surely, 2^{82120716322600} is an apocalyptic number.

It is an amenable number.

82120716322600 is an abundant number, since it is smaller than the sum of its proper divisors (108809949127910).

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

82120716322600 is a wasteful number, since it uses less digits than its factorization.

82120716322600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410603581629 (or 410603581620 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 82120716322600 in words is "eighty-two trillion, one hundred twenty billion, seven hundred sixteen million, three hundred twenty-two thousand, six hundred".