127717107168 has 192 divisors, whose sum is σ = 388931880960. Its totient is φ = 35943992832.

The previous prime is 127717107139. The next prime is 127717107181. The reversal of 127717107168 is 861701717721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12865855 + ... + 12875777.

It is an arithmetic number, because the mean of its divisors is an integer number (2025686880).

Almost surely, 2^127717107168 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 127717107168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194465940480).

127717107168 is an abundant number, since it is smaller than the sum of its proper divisors (261214773792).

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

127717107168 is a wasteful number, since it uses less digits than its factorization.

127717107168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 48.

The spelling of 127717107168 in words is "one hundred twenty-seven billion, seven hundred seventeen million, one hundred seven thousand, one hundred sixty-eight".