85906688211 has 32 divisors (see below), whose sum is σ = 128136480000. Its totient is φ = 56881315584.

The previous prime is 85906688209. The next prime is 85906688243. The reversal of 85906688211 is 11288660958.

It is a happy number.

It is not a de Polignac number, because 85906688211 - 2¹ = 85906688209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85906688281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7471555 + ... + 7483043.

It is an arithmetic number, because the mean of its divisors is an integer number (4004265000).

Almost surely, 2^85906688211 is an apocalyptic number.

85906688211 is a deficient number, since it is larger than the sum of its proper divisors (42229791789).

85906688211 is a wasteful number, since it uses less digits than its factorization.

85906688211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 85906688211 in words is "eighty-five billion, nine hundred six million, six hundred eighty-eight thousand, two hundred eleven".