85008588516 has 18 divisors (see below), whose sum is σ = 214882821062. Its totient is φ = 28336196160.

The previous prime is 85008588421. The next prime is 85008588521. The reversal of 85008588516 is 61588580058.

It is a happy number.

85008588516 is a `hidden beast` number, since 8 + 5 + 0 + 0 + 8 + 588 + 51 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82478096100 + 2530492416 = 287190^2 + 50304^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1180674805 + ... + 1180674876.

Almost surely, 2^85008588516 is an apocalyptic number.

It is an amenable number.

85008588516 is an abundant number, since it is smaller than the sum of its proper divisors (129874232546).

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

85008588516 is a wasteful number, since it uses less digits than its factorization.

85008588516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361349691 (or 2361349686 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 85008588516 in words is "eighty-five billion, eight million, five hundred eighty-eight thousand, five hundred sixteen".