127893081168 has 480 divisors, whose sum is σ = 391388699520. Its totient is φ = 40400363520.

The previous prime is 127893081131. The next prime is 127893081179. The reversal of 127893081168 is 861180398721.

127893081168 is a `hidden beast` number, since 1 + 278 + 9 + 308 + 1 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1437000868 + ... + 1437000956.

It is an arithmetic number, because the mean of its divisors is an integer number (815393124).

Almost surely, 2^127893081168 is an apocalyptic number.

127893081168 is a gapful number since it is divisible by the number (18) 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 127893081168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195694349760).

127893081168 is an abundant number, since it is smaller than the sum of its proper divisors (263495618352).

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

127893081168 is an equidigital number, since it uses as much as digits as its factorization.

127893081168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 127893081168 in words is "one hundred twenty-seven billion, eight hundred ninety-three million, eighty-one thousand, one hundred sixty-eight".