127127760057 has 12 divisors (see below), whose sum is σ = 183981448404. Its totient is φ = 84589165440.

The previous prime is 127127760037. The next prime is 127127760077. The reversal of 127127760057 is 750067721721.

127127760057 is a `hidden beast` number, since 1 + 27 + 12 + 7 + 7 + 600 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (127127760037) and next prime (127127760077).

It can be written as a sum of positive squares in 2 ways, for example, as 30881384361 + 96246375696 = 175731^2 + 310236^2 .

It is not a de Polignac number, because 127127760057 - 2¹⁵ = 127127727289 is a prime.

It is a super-2 number, since 2×127127760057² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127127759994 and 127127760021.

It is not an unprimeable number, because it can be changed into a prime (127127760017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13551268 + ... + 13560645.

It is an arithmetic number, because the mean of its divisors is an integer number (15331787367).

Almost surely, 2^127127760057 is an apocalyptic number.

It is an amenable number.

127127760057 is a deficient number, since it is larger than the sum of its proper divisors (56853688347).

127127760057 is a wasteful number, since it uses less digits than its factorization.

127127760057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27112440 (or 27112437 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 127127760057 in words is "one hundred twenty-seven billion, one hundred twenty-seven million, seven hundred sixty thousand, fifty-seven".