160736808960 has 1404 divisors, whose sum is σ = 717345729828. Its totient is φ = 32997113856.

The previous prime is 160736808949. The next prime is 160736808971. The reversal of 160736808960 is 69808637061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (160736808949) and next prime (160736808971).

It can be written as a sum of positive squares in 6 ways, for example, as 5664669696 + 155072139264 = 75264^2 + 393792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 160736808897 and 160736808906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4344238062 + ... + 4344238098.

It is an arithmetic number, because the mean of its divisors is an integer number (510930007).

Almost surely, 2^160736808960 is an apocalyptic number.

160736808960 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 160736808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358672864914).

160736808960 is an abundant number, since it is smaller than the sum of its proper divisors (556608920868).

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

160736808960 is a wasteful number, since it uses less digits than its factorization.

160736808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 160736808960 in words is "one hundred sixty billion, seven hundred thirty-six million, eight hundred eight thousand, nine hundred sixty".