127828757483217 has 12 divisors (see below), whose sum is σ = 211018901242240. Its totient is φ = 73045004276088.

The previous prime is 127828757483159. The next prime is 127828757483221. The reversal of 127828757483217 is 712384757828721.

127828757483217 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 2 + 8 + 7 + 574 + 8 + 32 + 17 = 666.

127828757483217 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 127828757483217 - 2¹¹ = 127828757481169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127828757484217) 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, 1014513948217 + ... + 1014513948342.

Almost surely, 2^{127828757483217} is an apocalyptic number.

It is an amenable number.

127828757483217 is a deficient number, since it is larger than the sum of its proper divisors (83190143759023).

127828757483217 is a wasteful number, since it uses less digits than its factorization.

127828757483217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029027896572 (or 2029027896569 counting only the distinct ones).

The product of its digits is 590069760, while the sum is 72.

The spelling of 127828757483217 in words is "one hundred twenty-seven trillion, eight hundred twenty-eight billion, seven hundred fifty-seven million, four hundred eighty-three thousand, two hundred seventeen".