82659711795628 has 192 divisors, whose sum is σ = 165744261365760. Its totient is φ = 35729926387200.

The previous prime is 82659711795601. The next prime is 82659711795631.

82659711795628 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17245921200 + ... + 17245925992.

It is an arithmetic number, because the mean of its divisors is an integer number (863251361280).

Almost surely, 2^{82659711795628} is an apocalyptic number.

It is an amenable number.

82659711795628 is an abundant number, since it is smaller than the sum of its proper divisors (83084549570132).

82659711795628 is a wasteful number, since it uses less digits than its factorization.

82659711795628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5706 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 76.

The spelling of 82659711795628 in words is "eighty-two trillion, six hundred fifty-nine billion, seven hundred eleven million, seven hundred ninety-five thousand, six hundred twenty-eight".