82782724965 has 48 divisors (see below), whose sum is σ = 136530777600. Its totient is φ = 42830726400.

The previous prime is 82782724957. The next prime is 82782724991. The reversal of 82782724965 is 56942728728.

It is not a de Polignac number, because 82782724965 - 2³ = 82782724957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82782724899 and 82782724908.

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 47 ways as a sum of consecutive naturals, for example, 7160940 + ... + 7172490.

It is an arithmetic number, because the mean of its divisors is an integer number (2844391200).

Almost surely, 2^82782724965 is an apocalyptic number.

It is an amenable number.

82782724965 is a deficient number, since it is larger than the sum of its proper divisors (53748052635).

82782724965 is a wasteful number, since it uses less digits than its factorization.

82782724965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11945 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The spelling of 82782724965 in words is "eighty-two billion, seven hundred eighty-two million, seven hundred twenty-four thousand, nine hundred sixty-five".