11005561105060 has 24 divisors (see below), whose sum is σ = 23117087271096. Its totient is φ = 4401194165760.

The previous prime is 11005561105057. The next prime is 11005561105079. The reversal of 11005561105060 is 6050116550011.

It can be written as a sum of positive squares in 4 ways, for example, as 524501604 + 11005036603456 = 22902^2 + 3317384^2 .

It is a super-2 number, since 2×11005561105060² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64304671 + ... + 64475590.

It is an arithmetic number, because the mean of its divisors is an integer number (963211969629).

Almost surely, 2^{11005561105060} is an apocalyptic number.

11005561105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005561105060 is an abundant number, since it is smaller than the sum of its proper divisors (12111526166036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11005561105060 is a wasteful number, since it uses less digits than its factorization.

11005561105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128784543 (or 128784541 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

Adding to 11005561105060 its reverse (6050116550011), we get a palindrome (17055677655071).

The spelling of 11005561105060 in words is "eleven trillion, five billion, five hundred sixty-one million, one hundred five thousand, sixty".