305089442160 has 160 divisors (see below), whose sum is σ = 948962744640. Its totient is φ = 81083695104.

The previous prime is 305089442153. The next prime is 305089442183. The reversal of 305089442160 is 61244980503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110819344 + ... + 110822096.

It is an arithmetic number, because the mean of its divisors is an integer number (5931017154).

Almost surely, 2^305089442160 is an apocalyptic number.

305089442160 is a gapful number since it is divisible by the number (30) 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 305089442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474481372320).

305089442160 is an abundant number, since it is smaller than the sum of its proper divisors (643873302480).

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

305089442160 is a wasteful number, since it uses less digits than its factorization.

305089442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 305089442160 in words is "three hundred five billion, eighty-nine million, four hundred forty-two thousand, one hundred sixty".