127425614976 has 288 divisors, whose sum is σ = 405376498800. Its totient is φ = 38390584320.

The previous prime is 127425614933. The next prime is 127425615007. The reversal of 127425614976 is 679416524721.

127425614976 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 561 + 4 + 9 + 76 = 666.

127425614976 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24948615 + ... + 24953721.

Almost surely, 2^127425614976 is an apocalyptic number.

127425614976 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 127425614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202688249400).

127425614976 is an abundant number, since it is smaller than the sum of its proper divisors (277950883824).

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

127425614976 is a wasteful number, since it uses less digits than its factorization.

127425614976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5302 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 127425614976 in words is "one hundred twenty-seven billion, four hundred twenty-five million, six hundred fourteen thousand, nine hundred seventy-six".