10679710777 has 16 divisors (see below), whose sum is σ = 11379575952. Its totient is φ = 9987932160.

The previous prime is 10679710771. The next prime is 10679710793. The reversal of 10679710777 is 77701797601.

It can be written as a sum of positive squares in 8 ways, for example, as 353289616 + 10326421161 = 18796^2 + 101619^2 .

It is a cyclic number.

It is not a de Polignac number, because 10679710777 - 2⁷ = 10679710649 is a prime.

It is a super-2 number, since 2×10679710777² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10679710771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4529883 + ... + 4532239.

It is an arithmetic number, because the mean of its divisors is an integer number (711223497).

Almost surely, 2^10679710777 is an apocalyptic number.

10679710777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10679710777 is a deficient number, since it is larger than the sum of its proper divisors (699865175).

10679710777 is a wasteful number, since it uses less digits than its factorization.

10679710777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948.

The product of its (nonzero) digits is 907578, while the sum is 52.

The spelling of 10679710777 in words is "ten billion, six hundred seventy-nine million, seven hundred ten thousand, seven hundred seventy-seven".