160441582080 has 640 divisors, whose sum is σ = 582577712640. Its totient is φ = 37371248640.

The previous prime is 160441582039. The next prime is 160441582109. The reversal of 160441582080 is 80285144061.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250298560 + ... + 250299200.

It is an arithmetic number, because the mean of its divisors is an integer number (910277676).

Almost surely, 2^160441582080 is an apocalyptic number.

160441582080 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 160441582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291288856320).

160441582080 is an abundant number, since it is smaller than the sum of its proper divisors (422136130560).

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

160441582080 is a wasteful number, since it uses less digits than its factorization.

160441582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 160441582080 in words is "one hundred sixty billion, four hundred forty-one million, five hundred eighty-two thousand, eighty".