85117064896 has 42 divisors (see below), whose sum is σ = 176567195252. Its totient is φ = 40708145280.

The previous prime is 85117064869. The next prime is 85117064939. The reversal of 85117064896 is 69846071158.

It is a super-3 number, since 3×85117064896³ (a number of 34 digits) contains 333 as substring.

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, 1223190 + ... + 1290901.

Almost surely, 2^85117064896 is an apocalyptic number.

It is an amenable number.

85117064896 is an abundant number, since it is smaller than the sum of its proper divisors (91450130356).

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

85117064896 is a wasteful number, since it uses less digits than its factorization.

85117064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514149 (or 2514116 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 85117064896 in words is "eighty-five billion, one hundred seventeen million, sixty-four thousand, eight hundred ninety-six".