10726400013 has 16 divisors (see below), whose sum is σ = 16388129280. Its totient is φ = 6113194416.

The previous prime is 10726399891. The next prime is 10726400021. The reversal of 10726400013 is 31000462701.

It is not a de Polignac number, because 10726400013 - 2⁸ = 10726399757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10726400023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665895 + ... + 681812.

It is an arithmetic number, because the mean of its divisors is an integer number (1024258080).

Almost surely, 2^10726400013 is an apocalyptic number.

It is an amenable number.

10726400013 is a deficient number, since it is larger than the sum of its proper divisors (5661729267).

10726400013 is a wasteful number, since it uses less digits than its factorization.

10726400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348096.

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 10726400013 its reverse (31000462701), we get a palindrome (41726862714).

The spelling of 10726400013 in words is "ten billion, seven hundred twenty-six million, four hundred thousand, thirteen".