11355988955311 has 144 divisors (see below), whose sum is σ = 15891047034336. Its totient is φ = 8087271192000.

The previous prime is 11355988955279. The next prime is 11355988955341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11355988955311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11355988955311 - 2⁵ = 11355988955279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355988955341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112435534161 + ... + 112435534261.

It is an arithmetic number, because the mean of its divisors is an integer number (110354493294).

Almost surely, 2^{11355988955311} is an apocalyptic number.

11355988955311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11355988955311 is a deficient number, since it is larger than the sum of its proper divisors (4535058079025).

11355988955311 is an frugal number, since it uses more digits than its factorization.

11355988955311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 132 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 64.

The spelling of 11355988955311 in words is "eleven trillion, three hundred fifty-five billion, nine hundred eighty-eight million, nine hundred fifty-five thousand, three hundred eleven".