160032112128 has 600 divisors, whose sum is σ = 565184265624. Its totient is φ = 44939059200.

The previous prime is 160032112027. The next prime is 160032112139. The reversal of 160032112128 is 821211230061.

160032112128 is a `hidden beast` number, since 1 + 600 + 3 + 2 + 11 + 21 + 28 = 666.

It is a super-2 number, since 2×160032112128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123959163 + ... + 123960453.

Almost surely, 2^160032112128 is an apocalyptic number.

160032112128 is a gapful number since it is divisible by the number (18) 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 160032112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282592132812).

160032112128 is an abundant number, since it is smaller than the sum of its proper divisors (405152153496).

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

160032112128 is an equidigital number, since it uses as much as digits as its factorization.

160032112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 160032112128 its reverse (821211230061), we get a palindrome (981243342189).

The spelling of 160032112128 in words is "one hundred sixty billion, thirty-two million, one hundred twelve thousand, one hundred twenty-eight".