1608160800160 has 48 divisors (see below), whose sum is σ = 3836896561512. Its totient is φ = 636895360000.

The previous prime is 1608160800131. The next prime is 1608160800167. The reversal of 1608160800160 is 610080618061.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1542454705936 + 65706094224 = 1241956^2 + 256332^2 .

It is not an unprimeable number, because it can be changed into a prime (1608160800167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49741291 + ... + 49773610.

Almost surely, 2^{1608160800160} is an apocalyptic number.

1608160800160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608160800160 is an abundant number, since it is smaller than the sum of its proper divisors (2228735761352).

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

1608160800160 is a wasteful number, since it uses less digits than its factorization.

1608160800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99515017 (or 99515009 counting only the distinct ones).

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

The spelling of 1608160800160 in words is "one trillion, six hundred eight billion, one hundred sixty million, eight hundred thousand, one hundred sixty".