127868098176 has 960 divisors, whose sum is σ = 502294716000. Its totient is φ = 31917182976.

The previous prime is 127868098117. The next prime is 127868098181. The reversal of 127868098176 is 671890868721.

It is a super-2 number, since 2×127868098176² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125483395 + ... + 125484413.

Almost surely, 2^127868098176 is an apocalyptic number.

127868098176 is a gapful number since it is divisible by the number (16) 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 127868098176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251147358000).

127868098176 is an abundant number, since it is smaller than the sum of its proper divisors (374426617824).

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

127868098176 is a wasteful number, since it uses less digits than its factorization.

127868098176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 127868098176 in words is "one hundred twenty-seven billion, eight hundred sixty-eight million, ninety-eight thousand, one hundred seventy-six".