127086772127 has 16 divisors (see below), whose sum is σ = 149702275584. Its totient is φ = 105636636000.

The previous prime is 127086772121. The next prime is 127086772237. The reversal of 127086772127 is 721277680721.

It is a happy number.

It is not a de Polignac number, because 127086772127 - 2²⁶ = 127019663263 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127086772121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065649 + ... + 2126282.

It is an arithmetic number, because the mean of its divisors is an integer number (9356392224).

Almost surely, 2^127086772127 is an apocalyptic number.

127086772127 is a deficient number, since it is larger than the sum of its proper divisors (22615503457).

127086772127 is an equidigital number, since it uses as much as digits as its factorization.

127086772127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192070.

The product of its (nonzero) digits is 921984, while the sum is 50.

The spelling of 127086772127 in words is "one hundred twenty-seven billion, eighty-six million, seven hundred seventy-two thousand, one hundred twenty-seven".