82582047202032 has 160 divisors (see below), whose sum is σ = 270925090636800. Its totient is φ = 23593039817472.

The previous prime is 82582047202019. The next prime is 82582047202087. The reversal of 82582047202032 is 23020274028528.

82582047202032 is a `hidden beast` number, since 8 + 2 + 582 + 0 + 47 + 2 + 0 + 20 + 3 + 2 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 38159194 + ... + 40265222.

It is an arithmetic number, because the mean of its divisors is an integer number (1693281816480).

Almost surely, 2^{82582047202032} is an apocalyptic number.

It is an amenable number.

82582047202032 is an abundant number, since it is smaller than the sum of its proper divisors (188343043434768).

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

82582047202032 is a wasteful number, since it uses less digits than its factorization.

82582047202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119020 (or 2119008 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 82582047202032 in words is "eighty-two trillion, five hundred eighty-two billion, forty-seven million, two hundred two thousand, thirty-two".