82565856528 has 80 divisors (see below), whose sum is σ = 215633222400. Its totient is φ = 27220838400.

The previous prime is 82565856463. The next prime is 82565856553.

82565856528 is nontrivially palindromic in base 10.

Its product of digits (46080000) is a multiple of the sum of its prime factors (18000).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4883193 + ... + 4900071.

It is an arithmetic number, because the mean of its divisors is an integer number (2695415280).

Almost surely, 2^82565856528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82565856528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107816611200).

82565856528 is an abundant number, since it is smaller than the sum of its proper divisors (133067365872).

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

82565856528 is a wasteful number, since it uses less digits than its factorization.

82565856528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000 (or 17994 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 60.

The spelling of 82565856528 in words is "eighty-two billion, five hundred sixty-five million, eight hundred fifty-six thousand, five hundred twenty-eight".