160168168000 has 56 divisors (see below), whose sum is σ = 396656487864. Its totient is φ = 64067264000.

The previous prime is 160168167959. The next prime is 160168168037. The reversal of 160168168000 is 861861061.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1980606016 + 158187561984 = 44504^2 + 397728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10002511 + ... + 10018510.

It is an arithmetic number, because the mean of its divisors is an integer number (7083151569).

Almost surely, 2^160168168000 is an apocalyptic number.

160168168000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

160168168000 is an abundant number, since it is smaller than the sum of its proper divisors (236488319864).

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

160168168000 is an equidigital number, since it uses as much as digits as its factorization.

160168168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021048 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 160168168000 in words is "one hundred sixty billion, one hundred sixty-eight million, one hundred sixty-eight thousand".