180160301088768 has 960 divisors, whose sum is σ = 645929409871872. Its totient is φ = 43135055953920.

The previous prime is 180160301088737. The next prime is 180160301088769. The reversal of 180160301088768 is 867880103061081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180160301088769) 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 63 ways as a sum of consecutive naturals, for example, 42460592055 + ... + 42460596297.

Almost surely, 2^{180160301088768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180160301088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322964704935936).

180160301088768 is an abundant number, since it is smaller than the sum of its proper divisors (465769108783104).

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

180160301088768 is a wasteful number, since it uses less digits than its factorization.

180160301088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The spelling of 180160301088768 in words is "one hundred eighty trillion, one hundred sixty billion, three hundred one million, eighty-eight thousand, seven hundred sixty-eight".