127636125561 has 288 divisors, whose sum is σ = 242573760000. Its totient is φ = 64194923520.

The previous prime is 127636125557. The next prime is 127636125571. The reversal of 127636125561 is 165521636721.

127636125561 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 3 + 61 + 25 + 561 = 666.

It is not a de Polignac number, because 127636125561 - 2² = 127636125557 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127636125571) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1170973575 + ... + 1170973683.

It is an arithmetic number, because the mean of its divisors is an integer number (842270000).

Almost surely, 2^127636125561 is an apocalyptic number.

It is an amenable number.

127636125561 is a deficient number, since it is larger than the sum of its proper divisors (114937634439).

127636125561 is a wasteful number, since it uses less digits than its factorization.

127636125561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 127636125561 in words is "one hundred twenty-seven billion, six hundred thirty-six million, one hundred twenty-five thousand, five hundred sixty-one".