127980999881280 has 1792 divisors, whose sum is σ = 561874636431360. Its totient is φ = 26702412742656.

The previous prime is 127980999881257. The next prime is 127980999881291. The reversal of 127980999881280 is 82188999089721.

127980999881280 is a `hidden beast` number, since 1 + 2 + 7 + 98 + 0 + 99 + 98 + 81 + 280 = 666.

127980999881280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127980999881280² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127980999881280.

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 255 ways as a sum of consecutive naturals, for example, 66208483194 + ... + 66208485126.

It is an arithmetic number, because the mean of its divisors is an integer number (313546114080).

Almost surely, 2^{127980999881280} is an apocalyptic number.

127980999881280 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 127980999881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280937318215680).

127980999881280 is an abundant number, since it is smaller than the sum of its proper divisors (433893636550080).

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

127980999881280 is a wasteful number, since it uses less digits than its factorization.

127980999881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 81.

The spelling of 127980999881280 in words is "one hundred twenty-seven trillion, nine hundred eighty billion, nine hundred ninety-nine million, eight hundred eighty-one thousand, two hundred eighty".