127027205676 has 324 divisors, whose sum is σ = 400470020496. Its totient is φ = 33251264640.

The previous prime is 127027205651. The next prime is 127027205719. The reversal of 127027205676 is 676502720721.

127027205676 is a `hidden beast` number, since 12 + 7 + 0 + 2 + 72 + 0 + 567 + 6 = 666.

It is a super-2 number, since 2×127027205676² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 87423366 + ... + 87424818.

Almost surely, 2^127027205676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127027205676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200235010248).

127027205676 is an abundant number, since it is smaller than the sum of its proper divisors (273442814820).

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

127027205676 is a wasteful number, since it uses less digits than its factorization.

127027205676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 127027205676 in words is "one hundred twenty-seven billion, twenty-seven million, two hundred five thousand, six hundred seventy-six".