127068505860721 has 16 divisors (see below), whose sum is σ = 127879121206800. Its totient is φ = 126258779815168.

The previous prime is 127068505860641. The next prime is 127068505860749.

127068505860721 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 443875737600 + 126624630123121 = 666240^2 + 11252761^2 .

It is a cyclic number.

It is not a de Polignac number, because 127068505860721 - 2¹¹ = 127068505858673 is a prime.

It is a super-2 number, since 2×127068505860721² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127060505860721) 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, 4821040275 + ... + 4821066631.

It is an arithmetic number, because the mean of its divisors is an integer number (7992445075425).

Almost surely, 2^{127068505860721} is an apocalyptic number.

It is an amenable number.

127068505860721 is a deficient number, since it is larger than the sum of its proper divisors (810615346079).

127068505860721 is a wasteful number, since it uses less digits than its factorization.

127068505860721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42068.

The product of its (nonzero) digits is 11289600, while the sum is 58.

The spelling of 127068505860721 in words is "one hundred twenty-seven trillion, sixty-eight billion, five hundred five million, eight hundred sixty thousand, seven hundred twenty-one".