128254582752768 has 800 divisors, whose sum is σ = 402269003136000. Its totient is φ = 40629786624000.

The previous prime is 128254582752761. The next prime is 128254582752797. The reversal of 128254582752768 is 867257285452821.

128254582752768 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 545 + 8 + 2 + 7 + 5 + 2 + 76 + 8 = 666.

It is a super-2 number, since 2×128254582752768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 128254582752696 and 128254582752705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128254582752761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85560094483 + ... + 85560095981.

It is an arithmetic number, because the mean of its divisors is an integer number (502836253920).

Almost surely, 2^{128254582752768} is an apocalyptic number.

128254582752768 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 128254582752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201134501568000).

128254582752768 is an abundant number, since it is smaller than the sum of its proper divisors (274014420383232).

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

128254582752768 is a wasteful number, since it uses less digits than its factorization.

128254582752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2687 counting only the distinct ones).

The product of its digits is 1204224000, while the sum is 72.

The spelling of 128254582752768 in words is "one hundred twenty-eight trillion, two hundred fifty-four billion, five hundred eighty-two million, seven hundred fifty-two thousand, seven hundred sixty-eight".