128517881688 has 192 divisors, whose sum is σ = 415642176000. Its totient is φ = 36687276864.

The previous prime is 128517881677. The next prime is 128517881707. The reversal of 128517881688 is 886188715821.

128517881688 is a `hidden beast` number, since 1 + 28 + 517 + 8 + 8 + 16 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13786293 + ... + 13795611.

It is an arithmetic number, because the mean of its divisors is an integer number (2164803000).

Almost surely, 2^128517881688 is an apocalyptic number.

128517881688 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 128517881688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207821088000).

128517881688 is an abundant number, since it is smaller than the sum of its proper divisors (287124294312).

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

128517881688 is a wasteful number, since it uses less digits than its factorization.

128517881688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10651 (or 10634 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 63.

The spelling of 128517881688 in words is "one hundred twenty-eight billion, five hundred seventeen million, eight hundred eighty-one thousand, six hundred eighty-eight".