127306719168 has 224 divisors, whose sum is σ = 349866021120. Its totient is φ = 40828354560.

The previous prime is 127306719167. The next prime is 127306719203. The reversal of 127306719168 is 861917603721.

It is a happy number.

It is a super-2 number, since 2×127306719168² (a number of 23 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 127306719168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127306719161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 216876571 + ... + 216877157.

It is an arithmetic number, because the mean of its divisors is an integer number (1561901880).

Almost surely, 2^127306719168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127306719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174933010560).

127306719168 is an abundant number, since it is smaller than the sum of its proper divisors (222559301952).

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

127306719168 is a wasteful number, since it uses less digits than its factorization.

127306719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 127306719168 in words is "one hundred twenty-seven billion, three hundred six million, seven hundred nineteen thousand, one hundred sixty-eight".