160890807168 has 256 divisors, whose sum is σ = 584433561600. Its totient is φ = 42432657408.

The previous prime is 160890807157. The next prime is 160890807173. The reversal of 160890807168 is 861708098061.

160890807168 is digitally balanced in base 2, because in such base 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 (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 58705 + ... + 570287.

It is an arithmetic number, because the mean of its divisors is an integer number (2282943600).

Almost surely, 2^160890807168 is an apocalyptic number.

160890807168 is a gapful number since it is divisible by the number (18) 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 160890807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292216780800).

160890807168 is an abundant number, since it is smaller than the sum of its proper divisors (423542754432).

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

160890807168 is a wasteful number, since it uses less digits than its factorization.

160890807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511626 (or 511608 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 160890807168 in words is "one hundred sixty billion, eight hundred ninety million, eight hundred seven thousand, one hundred sixty-eight".