10879377705 has 80 divisors (see below), whose sum is σ = 22315079424. Its totient is φ = 4967464320.

The previous prime is 10879377661. The next prime is 10879377721. The reversal of 10879377705 is 50777397801.

It is a happy number.

It is a Wieferich number.

It is not a de Polignac number, because 10879377705 - 2⁸ = 10879377449 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3096900 + ... + 3100410.

Almost surely, 2^10879377705 is an apocalyptic number.

10879377705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10879377705 is an abundant number, since it is smaller than the sum of its proper divisors (11435701719).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10879377705 is a wasteful number, since it uses less digits than its factorization.

10879377705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 54.

The spelling of 10879377705 in words is "ten billion, eight hundred seventy-nine million, three hundred seventy-seven thousand, seven hundred five".