127695168000 has 480 divisors, whose sum is σ = 465649696512. Its totient is φ = 33629184000.

The previous prime is 127695167989. The next prime is 127695168001. The reversal of 127695168000 is 861596721.

127695168000 is a `hidden beast` number, since 127 + 6 + 9 + 516 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (127695168001) 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 47 ways as a sum of consecutive naturals, for example, 47806665 + ... + 47809335.

Almost surely, 2^127695168000 is an apocalyptic number.

127695168000 is a gapful number since it is divisible by the number (10) 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 127695168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232824848256).

127695168000 is an abundant number, since it is smaller than the sum of its proper divisors (337954528512).

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

127695168000 is an equidigital number, since it uses as much as digits as its factorization.

127695168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 127695168000 in words is "one hundred twenty-seven billion, six hundred ninety-five million, one hundred sixty-eight thousand".