128191288680 has 1536 divisors, whose sum is σ = 571640509440. Its totient is φ = 24153292800.

The previous prime is 128191288649. The next prime is 128191288711. The reversal of 128191288680 is 86882191821.

128191288680 is a `hidden beast` number, since 1 + 281 + 9 + 1 + 288 + 6 + 80 = 666.

128191288680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (128191288649) and next prime (128191288711).

It is a super-2 number, since 2×128191288680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1269220630 + ... + 1269220730.

It is an arithmetic number, because the mean of its divisors is an integer number (372161790).

Almost surely, 2^128191288680 is an apocalyptic number.

128191288680 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 128191288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285820254720).

128191288680 is an abundant number, since it is smaller than the sum of its proper divisors (443449220760).

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

128191288680 is a wasteful number, since it uses less digits than its factorization.

128191288680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 128191288680 in words is "one hundred twenty-eight billion, one hundred ninety-one million, two hundred eighty-eight thousand, six hundred eighty".