82580569728 has 64 divisors (see below), whose sum is σ = 219530152800. Its totient is φ = 27504831488.

The previous prime is 82580569699. The next prime is 82580569733. The reversal of 82580569728 is 82796508528.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 398050 + ... + 568862.

Almost surely, 2^82580569728 is an apocalyptic number.

It is an amenable number.

82580569728 is an abundant number, since it is smaller than the sum of its proper divisors (136949583072).

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

82580569728 is a wasteful number, since it uses less digits than its factorization.

82580569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172089 (or 172077 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 82580569728 in words is "eighty-two billion, five hundred eighty million, five hundred sixty-nine thousand, seven hundred twenty-eight".