85168161977688 has 40 divisors (see below), whose sum is σ = 238549712948580. Its totient is φ = 28389387325680.

The previous prime is 85168161977641. The next prime is 85168161977741. The reversal of 85168161977688 is 88677916186158.

85168161977688 is a `hidden beast` number, since 8 + 516 + 8 + 1 + 6 + 1 + 97 + 7 + 6 + 8 + 8 = 666.

It is a super-3 number, since 3×85168161977688³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65716173718 + ... + 65716175013.

Almost surely, 2^{85168161977688} is an apocalyptic number.

It is an amenable number.

85168161977688 is an abundant number, since it is smaller than the sum of its proper divisors (153381550970892).

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

85168161977688 is a wasteful number, since it uses less digits than its factorization.

85168161977688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131432348749 (or 131432348736 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 81.

The spelling of 85168161977688 in words is "eighty-five trillion, one hundred sixty-eight billion, one hundred sixty-one million, nine hundred seventy-seven thousand, six hundred eighty-eight".