127389749760 has 1600 divisors, whose sum is σ = 578282487552. Its totient is φ = 26085556224.

The previous prime is 127389749689. The next prime is 127389749801. The reversal of 127389749760 is 67947983721.

127389749760 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 89 + 7 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 811399602 + ... + 811399758.

Almost surely, 2^127389749760 is an apocalyptic number.

127389749760 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 127389749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289141243776).

127389749760 is an abundant number, since it is smaller than the sum of its proper divisors (450892737792).

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

127389749760 is a wasteful number, since it uses less digits than its factorization.

127389749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 127389749760 in words is "one hundred twenty-seven billion, three hundred eighty-nine million, seven hundred forty-nine thousand, seven hundred sixty".