10737711040729 has 2 divisors, whose sum is σ = 10737711040730. Its totient is φ = 10737711040728.

The previous prime is 10737711040711. The next prime is 10737711040751. The reversal of 10737711040729 is 92704011773701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9922027505625 + 815683535104 = 3149925^2 + 903152^2 .

It is a cyclic number.

It is not a de Polignac number, because 10737711040729 - 2²⁹ = 10737174169817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10737711040129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5368855520364 + 5368855520365.

It is an arithmetic number, because the mean of its divisors is an integer number (5368855520365).

Almost surely, 2^{10737711040729} is an apocalyptic number.

It is an amenable number.

10737711040729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10737711040729 is an equidigital number, since it uses as much as digits as its factorization.

10737711040729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518616, while the sum is 49.

The spelling of 10737711040729 in words is "ten trillion, seven hundred thirty-seven billion, seven hundred eleven million, forty thousand, seven hundred twenty-nine".