85858716658176 has 960 divisors, whose sum is σ = 314331194301696. Its totient is φ = 21912433459200.

The previous prime is 85858716658139. The next prime is 85858716658207. The reversal of 85858716658176 is 67185661785858.

85858716658176 is a `hidden beast` number, since 8 + 5 + 8 + 587 + 16 + 6 + 5 + 8 + 17 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85858716658095 and 85858716658104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32314156240 + ... + 32314158896.

Almost surely, 2^{85858716658176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85858716658176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157165597150848).

85858716658176 is an abundant number, since it is smaller than the sum of its proper divisors (228472477643520).

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

85858716658176 is a wasteful number, since it uses less digits than its factorization.

85858716658176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4234 counting only the distinct ones).

The product of its digits is 5419008000, while the sum is 81.

The spelling of 85858716658176 in words is "eighty-five trillion, eight hundred fifty-eight billion, seven hundred sixteen million, six hundred fifty-eight thousand, one hundred seventy-six".