10775008321 has 48 divisors (see below), whose sum is σ = 14104298880. Its totient is φ = 8134560000.

The previous prime is 10775008253. The next prime is 10775008331. The reversal of 10775008321 is 12380057701.

It is not a de Polignac number, because 10775008321 - 2¹¹ = 10775006273 is a prime.

It is a super-2 number, since 2×10775008321² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10775008331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3335335 + ... + 3338563.

It is an arithmetic number, because the mean of its divisors is an integer number (293839560).

Almost surely, 2^10775008321 is an apocalyptic number.

10775008321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10775008321 is a deficient number, since it is larger than the sum of its proper divisors (3329290559).

10775008321 is a wasteful number, since it uses less digits than its factorization.

10775008321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 10775008321 in words is "ten billion, seven hundred seventy-five million, eight thousand, three hundred twenty-one".