127915935168 has 112 divisors (see below), whose sum is σ = 386997488640. Its totient is φ = 36528129024.

The previous prime is 127915935167. The next prime is 127915935197. The reversal of 127915935168 is 861539519721.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127915935167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2627593 + ... + 2675831.

It is an arithmetic number, because the mean of its divisors is an integer number (3455334720).

Almost surely, 2^127915935168 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 127915935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193498744320).

127915935168 is an abundant number, since it is smaller than the sum of its proper divisors (259081553472).

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

127915935168 is a wasteful number, since it uses less digits than its factorization.

127915935168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50234 (or 50224 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 57.

The spelling of 127915935168 in words is "one hundred twenty-seven billion, nine hundred fifteen million, nine hundred thirty-five thousand, one hundred sixty-eight".