11056116617 has 24 divisors (see below), whose sum is σ = 14665270536. Its totient is φ = 8233118208.

The previous prime is 11056116497. The next prime is 11056116619. The reversal of 11056116617 is 71661165011.

It can be written as a sum of positive squares in 4 ways, for example, as 565440841 + 10490675776 = 23779^2 + 102424^2 .

It is not a de Polignac number, because 11056116617 - 2¹⁰ = 11056115593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11056116619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499658 + ... + 521315.

It is an arithmetic number, because the mean of its divisors is an integer number (611052939).

Almost surely, 2^11056116617 is an apocalyptic number.

11056116617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11056116617 is a deficient number, since it is larger than the sum of its proper divisors (3609153919).

11056116617 is a wasteful number, since it uses less digits than its factorization.

11056116617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021017 (or 1021010 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 35.

The spelling of 11056116617 in words is "eleven billion, fifty-six million, one hundred sixteen thousand, six hundred seventeen".