168585068160 has 192 divisors, whose sum is σ = 582596637480. Its totient is φ = 44921167872.

The previous prime is 168585068159. The next prime is 168585068203. The reversal of 168585068160 is 61860585861.

168585068160 is a `hidden beast` number, since 1 + 6 + 8 + 58 + 506 + 81 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157367716416 + 11217351744 = 396696^2 + 105912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 168585068097 and 168585068106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7897822 + ... + 7919138.

Almost surely, 2^168585068160 is an apocalyptic number.

168585068160 is a gapful number since it is divisible by the number (10) 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 168585068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291298318740).

168585068160 is an abundant number, since it is smaller than the sum of its proper divisors (414011569320).

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

168585068160 is a wasteful number, since it uses less digits than its factorization.

168585068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22715 (or 22700 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 168585068160 in words is "one hundred sixty-eight billion, five hundred eighty-five million, sixty-eight thousand, one hundred sixty".