127989709803648 has 576 divisors, whose sum is σ = 467461784780640. Its totient is φ = 33238517760000.

The previous prime is 127989709803589. The next prime is 127989709803673. The reversal of 127989709803648 is 846308907989721.

127989709803648 is a `hidden beast` number, since 1 + 2 + 7 + 98 + 97 + 0 + 9 + 80 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 4775543848 + ... + 4775570648.

Almost surely, 2^{127989709803648} is an apocalyptic number.

127989709803648 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 127989709803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233730892390320).

127989709803648 is an abundant number, since it is smaller than the sum of its proper divisors (339472074976992).

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

127989709803648 is a wasteful number, since it uses less digits than its factorization.

127989709803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34537 (or 34515 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 127989709803648 in words is "one hundred twenty-seven trillion, nine hundred eighty-nine billion, seven hundred nine million, eight hundred three thousand, six hundred forty-eight".