11115505005011 has 16 divisors (see below), whose sum is σ = 12822463696896. Its totient is φ = 9540523560000.

The previous prime is 11115505004893. The next prime is 11115505005019. The reversal of 11115505005011 is 11050050551111.

It is a cyclic number.

It is not a de Polignac number, because 11115505005011 - 2³⁴ = 11098325135827 is a prime.

It is a super-2 number, since 2×11115505005011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11115505005019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397507835 + ... + 397535796.

It is an arithmetic number, because the mean of its divisors is an integer number (801403981056).

Almost surely, 2^{11115505005011} is an apocalyptic number.

11115505005011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11115505005011 is a deficient number, since it is larger than the sum of its proper divisors (1706958691885).

11115505005011 is a wasteful number, since it uses less digits than its factorization.

11115505005011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795043714.

The product of its (nonzero) digits is 625, while the sum is 26.

Adding to 11115505005011 its reverse (11050050551111), we get a palindrome (22165555556122).

The spelling of 11115505005011 in words is "eleven trillion, one hundred fifteen billion, five hundred five million, five thousand, eleven".