82480507428385 has 48 divisors (see below), whose sum is σ = 112704499973520. Its totient is φ = 57834717248000.

The previous prime is 82480507428367. The next prime is 82480507428391. The reversal of 82480507428385 is 58382470508428.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3976530527376 + 78503976901009 = 1994124^2 + 8860247^2 .

It is not a de Polignac number, because 82480507428385 - 2¹¹ = 82480507426337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8945919 + ... + 15652171.

It is an arithmetic number, because the mean of its divisors is an integer number (2348010416115).

Almost surely, 2^{82480507428385} is an apocalyptic number.

It is an amenable number.

82480507428385 is a deficient number, since it is larger than the sum of its proper divisors (30223992545135).

82480507428385 is a wasteful number, since it uses less digits than its factorization.

82480507428385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707010 (or 6706999 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 64.

The spelling of 82480507428385 in words is "eighty-two trillion, four hundred eighty billion, five hundred seven million, four hundred twenty-eight thousand, three hundred eighty-five".