85852164996 has 72 divisors (see below), whose sum is σ = 233850828120. Its totient is φ = 26399983104.

The previous prime is 85852164989. The next prime is 85852165027. The reversal of 85852164996 is 69946125858.

85852164996 is a `hidden beast` number, since 8 + 585 + 2 + 1 + 6 + 49 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1101310596 + 84750854400 = 33186^2 + 291120^2 .

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 23 ways as a sum of consecutive naturals, for example, 726136 + ... + 836048.

Almost surely, 2^85852164996 is an apocalyptic number.

It is an amenable number.

85852164996 is an abundant number, since it is smaller than the sum of its proper divisors (147998663124).

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

85852164996 is a wasteful number, since it uses less digits than its factorization.

85852164996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111605 (or 111600 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 85852164996 in words is "eighty-five billion, eight hundred fifty-two million, one hundred sixty-four thousand, nine hundred ninety-six".