11589777043617 has 12 divisors (see below), whose sum is σ = 16415508893456. Its totient is φ = 7272016968000.

The previous prime is 11589777043609. The next prime is 11589777043667. The reversal of 11589777043617 is 71634077798511.

It is not a de Polignac number, because 11589777043617 - 2³ = 11589777043609 is a prime.

It is a super-4 number, since 4×11589777043617⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11589777043667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6683838259 + ... + 6683839992.

Almost surely, 2^{11589777043617} is an apocalyptic number.

11589777043617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11589777043617 is a deficient number, since it is larger than the sum of its proper divisors (4825731849839).

11589777043617 is a wasteful number, since it uses less digits than its factorization.

11589777043617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367678288 (or 13367678271 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 66.

The spelling of 11589777043617 in words is "eleven trillion, five hundred eighty-nine billion, seven hundred seventy-seven million, forty-three thousand, six hundred seventeen".