82564288246528 has 36 divisors (see below), whose sum is σ = 179788428815688. Its totient is φ = 37529221928960.

The previous prime is 82564288246511. The next prime is 82564288246567.

82564288246528 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14659849501 + ... + 14659855132.

It is an arithmetic number, because the mean of its divisors is an integer number (4994123022658).

Almost surely, 2^{82564288246528} is an apocalyptic number.

82564288246528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82564288246528 is an abundant number, since it is smaller than the sum of its proper divisors (97224140569160).

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

82564288246528 is a wasteful number, since it uses less digits than its factorization.

82564288246528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29319704660 (or 29319704646 counting only the distinct ones).

The product of its digits is 943718400, while the sum is 70.

The spelling of 82564288246528 in words is "eighty-two trillion, five hundred sixty-four billion, two hundred eighty-eight million, two hundred forty-six thousand, five hundred twenty-eight".