127389889972800 has 1512 divisors, whose sum is σ = 589813987613760. Its totient is φ = 25463177625600.

The previous prime is 127389889972777. The next prime is 127389889972811. The reversal of 127389889972800 is 8279988983721.

127389889972800 is a `hidden beast` number, since 1 + 2 + 7 + 389 + 8 + 8 + 99 + 72 + 80 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 127389889972800.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 323472010 + ... + 323865590.

Almost surely, 2^{127389889972800} is an apocalyptic number.

127389889972800 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 127389889972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294906993806880).

127389889972800 is an abundant number, since it is smaller than the sum of its proper divisors (462424097640960).

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

127389889972800 is a wasteful number, since it uses less digits than its factorization.

127389889972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393661 (or 393630 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 81.

The spelling of 127389889972800 in words is "one hundred twenty-seven trillion, three hundred eighty-nine billion, eight hundred eighty-nine million, nine hundred seventy-two thousand, eight hundred".