128827479388608 has 2688 divisors, whose sum is σ = 553225752576000. Its totient is φ = 28311159398400.

The previous prime is 128827479388591. The next prime is 128827479388669. The reversal of 128827479388608 is 806883974728821.

128827479388608 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 7 + 479 + 3 + 88 + 60 + 8 = 666.

It is a super-3 number, since 3×128827479388608³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31583101513 + ... + 31583105591.

It is an arithmetic number, because the mean of its divisors is an integer number (205813152000).

Almost surely, 2^{128827479388608} is an apocalyptic number.

128827479388608 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 128827479388608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276612876288000).

128827479388608 is an abundant number, since it is smaller than the sum of its proper divisors (424398273187392).

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

128827479388608 is a wasteful number, since it uses less digits than its factorization.

128827479388608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 128827479388608 in words is "one hundred twenty-eight trillion, eight hundred twenty-seven billion, four hundred seventy-nine million, three hundred eighty-eight thousand, six hundred eight".