85617399168000 has 4928 divisors, whose sum is σ = 394040768808960. Its totient is φ = 18130894848000.

The previous prime is 85617399167879. The next prime is 85617399168101. The reversal of 85617399168000 is 86199371658.

85617399168000 is a `hidden beast` number, since 8 + 5 + 617 + 3 + 9 + 9 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

85617399168000 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 615952511931 + ... + 615952512069.

Almost surely, 2^{85617399168000} is an apocalyptic number.

85617399168000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85617399168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197020384404480).

85617399168000 is an abundant number, since it is smaller than the sum of its proper divisors (308423369640960).

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

85617399168000 is a wasteful number, since it uses less digits than its factorization.

85617399168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 85617399168000 in words is "eighty-five trillion, six hundred seventeen billion, three hundred ninety-nine million, one hundred sixty-eight thousand".