10803577679 has 8 divisors (see below), whose sum is σ = 10818369408. Its totient is φ = 10788799320.

The previous prime is 10803577663. The next prime is 10803577709. The reversal of 10803577679 is 97677530801.

10803577679 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 10803577679 - 2⁴ = 10803577663 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10803577679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10803577079) 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, 4378004 + ... + 4380470.

It is an arithmetic number, because the mean of its divisors is an integer number (1352296176).

Almost surely, 2^10803577679 is an apocalyptic number.

10803577679 is a deficient number, since it is larger than the sum of its proper divisors (14791729).

10803577679 is a wasteful number, since it uses less digits than its factorization.

10803577679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685.

The product of its (nonzero) digits is 2222640, while the sum is 53.

The spelling of 10803577679 in words is "ten billion, eight hundred three million, five hundred seventy-seven thousand, six hundred seventy-nine".