11205411110153 has 32 divisors (see below), whose sum is σ = 13223576086560. Its totient is φ = 9395223183360.

The previous prime is 11205411110099. The next prime is 11205411110171. The reversal of 11205411110153 is 35101111450211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5175793351369 + 6029617758784 = 2275037^2 + 2455528^2 .

It is a cyclic number.

It is not a de Polignac number, because 11205411110153 - 2³² = 11201116142857 is a prime.

It is a super-2 number, since 2×11205411110153² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11205411116153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14340893 + ... + 15102053.

It is an arithmetic number, because the mean of its divisors is an integer number (413236752705).

Almost surely, 2^{11205411110153} is an apocalyptic number.

11205411110153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11205411110153 is a deficient number, since it is larger than the sum of its proper divisors (2018164976407).

11205411110153 is a wasteful number, since it uses less digits than its factorization.

11205411110153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763517.

The product of its (nonzero) digits is 600, while the sum is 26.

Adding to 11205411110153 its reverse (35101111450211), we get a palindrome (46306522560364).

The spelling of 11205411110153 in words is "eleven trillion, two hundred five billion, four hundred eleven million, one hundred ten thousand, one hundred fifty-three".