127131809280 has 480 divisors, whose sum is σ = 474804548064. Its totient is φ = 28934406144.

The previous prime is 127131809251. The next prime is 127131809323. The reversal of 127131809280 is 82908131721.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110261184 + ... + 110262336.

Almost surely, 2^127131809280 is an apocalyptic number.

127131809280 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 127131809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237402274032).

127131809280 is an abundant number, since it is smaller than the sum of its proper divisors (347672738784).

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

127131809280 is a wasteful number, since it uses less digits than its factorization.

127131809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 127131809280 in words is "one hundred twenty-seven billion, one hundred thirty-one million, eight hundred nine thousand, two hundred eighty".