10775377665 has 48 divisors (see below), whose sum is σ = 21297236688. Its totient is φ = 4992749568.

The previous prime is 10775377643. The next prime is 10775377673. The reversal of 10775377665 is 56677357701.

It can be written as a sum of positive squares in 8 ways, for example, as 334012176 + 10441365489 = 18276^2 + 102183^2 .

It is not a de Polignac number, because 10775377665 - 2⁶ = 10775377601 is a prime.

It is a super-2 number, since 2×10775377665² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531804 + ... + 551693.

It is an arithmetic number, because the mean of its divisors is an integer number (443692431).

Almost surely, 2^10775377665 is an apocalyptic number.

10775377665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10775377665 is a deficient number, since it is larger than the sum of its proper divisors (10521859023).

10775377665 is a wasteful number, since it uses less digits than its factorization.

10775377665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083538 (or 1083535 counting only the distinct ones).

The product of its (nonzero) digits is 6482700, while the sum is 54.

The spelling of 10775377665 in words is "ten billion, seven hundred seventy-five million, three hundred seventy-seven thousand, six hundred sixty-five".