128004025031160 has 256 divisors, whose sum is σ = 392672243957760. Its totient is φ = 33366456076800.

The previous prime is 128004025031143. The next prime is 128004025031161. The reversal of 128004025031160 is 61130520400821.

It is a super-3 number, since 3×128004025031160³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128004025031161) 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, 28300688659 + ... + 28300693181.

It is an arithmetic number, because the mean of its divisors is an integer number (1533875952960).

Almost surely, 2^{128004025031160} is an apocalyptic number.

128004025031160 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 128004025031160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196336121978880).

128004025031160 is an abundant number, since it is smaller than the sum of its proper divisors (264668218926600).

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

128004025031160 is a wasteful number, since it uses less digits than its factorization.

128004025031160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9738 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 128004025031160 its reverse (61130520400821), we get a palindrome (189134545431981).

The spelling of 128004025031160 in words is "one hundred twenty-eight trillion, four billion, twenty-five million, thirty-one thousand, one hundred sixty".