11006500105560 has 768 divisors, whose sum is σ = 37655357760000. Its totient is φ = 2563732684800.

The previous prime is 11006500105529. The next prime is 11006500105609. The reversal of 11006500105560 is 6550100560011.

It is a super-2 number, since 2×11006500105560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 22057114191 + ... + 22057114689.

It is an arithmetic number, because the mean of its divisors is an integer number (49030413750).

Almost surely, 2^{11006500105560} is an apocalyptic number.

11006500105560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006500105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18827678880000).

11006500105560 is an abundant number, since it is smaller than the sum of its proper divisors (26648857654440).

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

11006500105560 is a wasteful number, since it uses less digits than its factorization.

11006500105560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 11006500105560 its reverse (6550100560011), we get a palindrome (17556600665571).

The spelling of 11006500105560 in words is "eleven trillion, six billion, five hundred million, one hundred five thousand, five hundred sixty".