128791311685120 has 640 divisors, whose sum is σ = 380547624821760. Its totient is φ = 40862540759040.

The previous prime is 128791311685103. The next prime is 128791311685121. The reversal of 128791311685120 is 21586113197821.

128791311685120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128791311685121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288236735 + ... + 1288336705.

It is an arithmetic number, because the mean of its divisors is an integer number (594605663784).

Almost surely, 2^{128791311685120} is an apocalyptic number.

128791311685120 is a gapful number since it is divisible by the number (10) 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 128791311685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190273812410880).

128791311685120 is an abundant number, since it is smaller than the sum of its proper divisors (251756313136640).

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

128791311685120 is an equidigital number, since it uses as much as digits as its factorization.

128791311685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100134 (or 100118 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 55.

The spelling of 128791311685120 in words is "one hundred twenty-eight trillion, seven hundred ninety-one billion, three hundred eleven million, six hundred eighty-five thousand, one hundred twenty".