128668113025536 has 320 divisors, whose sum is σ = 403410867552000. Its totient is φ = 36425032777728.

The previous prime is 128668113025513. The next prime is 128668113025541. The reversal of 128668113025536 is 635520311866821.

128668113025536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56306146 + ... + 58546718.

It is an arithmetic number, because the mean of its divisors is an integer number (1260658961100).

Almost surely, 2^{128668113025536} is an apocalyptic number.

128668113025536 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 128668113025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201705433776000).

128668113025536 is an abundant number, since it is smaller than the sum of its proper divisors (274742754526464).

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

128668113025536 is an equidigital number, since it uses as much as digits as its factorization.

128668113025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240724 (or 2240694 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 128668113025536 in words is "one hundred twenty-eight trillion, six hundred sixty-eight billion, one hundred thirteen million, twenty-five thousand, five hundred thirty-six".