128034577735680 has 896 divisors, whose sum is σ = 515002806107136. Its totient is φ = 26604349685760.

The previous prime is 128034577735639. The next prime is 128034577735697. The reversal of 128034577735680 is 86537775430821.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144817044 + ... + 1144928876.

Almost surely, 2^{128034577735680} is an apocalyptic number.

128034577735680 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 128034577735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257501403053568).

128034577735680 is an abundant number, since it is smaller than the sum of its proper divisors (386968228371456).

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

128034577735680 is an equidigital number, since it uses as much as digits as its factorization.

128034577735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111907 (or 111861 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 66.

The spelling of 128034577735680 in words is "one hundred twenty-eight trillion, thirty-four billion, five hundred seventy-seven million, seven hundred thirty-five thousand, six hundred eighty".