128889468180 has 1152 divisors, whose sum is σ = 497155276800. Its totient is φ = 26649907200.

The previous prime is 128889468173. The next prime is 128889468181. The reversal of 128889468180 is 81864988821.

128889468180 is a `hidden beast` number, since 1 + 2 + 88 + 89 + 468 + 18 + 0 = 666.

It is a super-2 number, since 2×128889468180² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128889468181) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1251354009 + ... + 1251354111.

It is an arithmetic number, because the mean of its divisors is an integer number (431558400).

Almost surely, 2^128889468180 is an apocalyptic number.

128889468180 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 128889468180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248577638400).

128889468180 is an abundant number, since it is smaller than the sum of its proper divisors (368265808620).

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

128889468180 is a wasteful number, since it uses less digits than its factorization.

128889468180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 63.

The spelling of 128889468180 in words is "one hundred twenty-eight billion, eight hundred eighty-nine million, four hundred sixty-eight thousand, one hundred eighty".