10405967879 has 8 divisors (see below), whose sum is σ = 10658461440. Its totient is φ = 10153951416.

The previous prime is 10405967863. The next prime is 10405967893. The reversal of 10405967879 is 97876950401.

10405967879 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10405967879 - 2⁴ = 10405967863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405964879) 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 7 ways as a sum of consecutive naturals, for example, 74927 + ... + 162560.

It is an arithmetic number, because the mean of its divisors is an integer number (1332307680).

Almost surely, 2^10405967879 is an apocalyptic number.

10405967879 is a deficient number, since it is larger than the sum of its proper divisors (252493561).

10405967879 is a wasteful number, since it uses less digits than its factorization.

10405967879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238549.

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 10405967879 in words is "ten billion, four hundred five million, nine hundred sixty-seven thousand, eight hundred seventy-nine".