11687588578611 has 24 divisors (see below), whose sum is σ = 19217536955136. Its totient is φ = 6775413667440.

The previous prime is 11687588578571. The next prime is 11687588578613.

11687588578611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11687588578611 - 2⁴³ = 2891495556403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11687588578611.

It is not an unprimeable number, because it can be changed into a prime (11687588578613) 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 23 ways as a sum of consecutive naturals, for example, 2566442295 + ... + 2566446848.

It is an arithmetic number, because the mean of its divisors is an integer number (800730706464).

Almost surely, 2^{11687588578611} is an apocalyptic number.

11687588578611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11687588578611 is a deficient number, since it is larger than the sum of its proper divisors (7529948376525).

11687588578611 is a wasteful number, since it uses less digits than its factorization.

11687588578611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132889183 (or 5132889180 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 72.

The spelling of 11687588578611 in words is "eleven trillion, six hundred eighty-seven billion, five hundred eighty-eight million, five hundred seventy-eight thousand, six hundred eleven".