168165668160 has 560 divisors, whose sum is σ = 719647674240. Its totient is φ = 36414074880.

The previous prime is 168165668129. The next prime is 168165668171. The reversal of 168165668160 is 61866561861.

168165668160 is a `hidden beast` number, since 1 + 6 + 8 + 16 + 566 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 168165668097 and 168165668106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3422970 + ... + 3471750.

Almost surely, 2^168165668160 is an apocalyptic number.

168165668160 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 168165668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359823837120).

168165668160 is an abundant number, since it is smaller than the sum of its proper divisors (551482006080).

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

168165668160 is a wasteful number, since it uses less digits than its factorization.

168165668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48836 (or 48817 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 168165668160 in words is "one hundred sixty-eight billion, one hundred sixty-five million, six hundred sixty-eight thousand, one hundred sixty".