82048596576 has 48 divisors (see below), whose sum is σ = 215543188224. Its totient is φ = 27328500864.

The previous prime is 82048596559. The next prime is 82048596583. The reversal of 82048596576 is 67569584028.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202876 + ... + 453051.

It is an arithmetic number, because the mean of its divisors is an integer number (4490483088).

Almost surely, 2^82048596576 is an apocalyptic number.

It is an amenable number.

82048596576 is an abundant number, since it is smaller than the sum of its proper divisors (133494591648).

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

82048596576 is a wasteful number, since it uses less digits than its factorization.

82048596576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657243 (or 657235 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 82048596576 in words is "eighty-two billion, forty-eight million, five hundred ninety-six thousand, five hundred seventy-six".