10405872351067 has 2 divisors, whose sum is σ = 10405872351068. Its totient is φ = 10405872351066.

The previous prime is 10405872351041. The next prime is 10405872351079. The reversal of 10405872351067 is 76015327850401.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10405872351067 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10405872351067.

It is not a weakly prime, because it can be changed into another prime (10405872358067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202936175533 + 5202936175534.

It is an arithmetic number, because the mean of its divisors is an integer number (5202936175534).

Almost surely, 2^{10405872351067} is an apocalyptic number.

10405872351067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405872351067 is an equidigital number, since it uses as much as digits as its factorization.

10405872351067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 10405872351067 in words is "ten trillion, four hundred five billion, eight hundred seventy-two million, three hundred fifty-one thousand, sixty-seven".