127759228128 has 192 divisors, whose sum is σ = 426130467840. Its totient is φ = 36479808000.

The previous prime is 127759228123. The next prime is 127759228279. The reversal of 127759228128 is 821822957721.

127759228128 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 592 + 28 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127759228123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11249653 + ... + 11261003.

It is an arithmetic number, because the mean of its divisors is an integer number (2219429520).

Almost surely, 2^127759228128 is an apocalyptic number.

127759228128 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 127759228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213065233920).

127759228128 is an abundant number, since it is smaller than the sum of its proper divisors (298371239712).

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

127759228128 is a wasteful number, since it uses less digits than its factorization.

127759228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13238 (or 13224 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 127759228128 in words is "one hundred twenty-seven billion, seven hundred fifty-nine million, two hundred twenty-eight thousand, one hundred twenty-eight".