85671605583 has 20 divisors (see below), whose sum is σ = 129221094288. Its totient is φ = 56559889440.

The previous prime is 85671605581. The next prime is 85671605599. The reversal of 85671605583 is 38550617658.

85671605583 is a `hidden beast` number, since 8 + 56 + 7 + 1 + 6 + 0 + 5 + 583 = 666.

It is not a de Polignac number, because 85671605583 - 2¹ = 85671605581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85671605581) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5125998 + ... + 5142683.

Almost surely, 2^85671605583 is an apocalyptic number.

85671605583 is a deficient number, since it is larger than the sum of its proper divisors (43549488705).

85671605583 is a wasteful number, since it uses less digits than its factorization.

85671605583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268796 (or 10268787 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 85671605583 in words is "eighty-five billion, six hundred seventy-one million, six hundred five thousand, five hundred eighty-three".