128126077056 has 192 divisors, whose sum is σ = 376266847320. Its totient is φ = 41834397696.

The previous prime is 128126077019. The next prime is 128126077127. The reversal of 128126077056 is 650770621821.

128126077056 is a `hidden beast` number, since 1 + 28 + 12 + 607 + 7 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101812046400 + 26314030656 = 319080^2 + 162216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48660316 + ... + 48662948.

Almost surely, 2^128126077056 is an apocalyptic number.

128126077056 is a gapful number since it is divisible by the number (16) 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 128126077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188133423660).

128126077056 is an abundant number, since it is smaller than the sum of its proper divisors (248140770264).

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

128126077056 is a wasteful number, since it uses less digits than its factorization.

128126077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

Adding to 128126077056 its reverse (650770621821), we get a palindrome (778896698877).

The spelling of 128126077056 in words is "one hundred twenty-eight billion, one hundred twenty-six million, seventy-seven thousand, fifty-six".