160509081600 has 1728 divisors, whose sum is σ = 724541126400. Its totient is φ = 34398535680.

The previous prime is 160509081571. The next prime is 160509081613. The reversal of 160509081600 is 6180905061.

160509081600 is a `hidden beast` number, since 16 + 0 + 509 + 0 + 81 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1654732752 + ... + 1654732848.

Almost surely, 2^160509081600 is an apocalyptic number.

160509081600 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 160509081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362270563200).

160509081600 is an abundant number, since it is smaller than the sum of its proper divisors (564032044800).

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

160509081600 is an equidigital number, since it uses as much as digits as its factorization.

160509081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 160509081600 its reverse (6180905061), we get a palindrome (166689986661).

The spelling of 160509081600 in words is "one hundred sixty billion, five hundred nine million, eighty-one thousand, six hundred".