10127596673 has 16 divisors (see below), whose sum is σ = 10801083216. Its totient is φ = 9481743360.

The previous prime is 10127596639. The next prime is 10127596681. The reversal of 10127596673 is 37669572101.

It is a happy number.

10127596673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 137194369 + 9990402304 = 11713^2 + 99952^2 .

It is a cyclic number.

It is not a de Polignac number, because 10127596673 - 2²⁰ = 10126548097 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10127593673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65015 + ... + 156467.

It is an arithmetic number, because the mean of its divisors is an integer number (675067701).

Almost surely, 2^10127596673 is an apocalyptic number.

It is an amenable number.

10127596673 is a deficient number, since it is larger than the sum of its proper divisors (673486543).

10127596673 is an equidigital number, since it uses as much as digits as its factorization.

10127596673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91604.

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 10127596673 in words is "ten billion, one hundred twenty-seven million, five hundred ninety-six thousand, six hundred seventy-three".