11110005110500 has 96 divisors (see below), whose sum is σ = 25103579810400. Its totient is φ = 4290310976000.

The previous prime is 11110005110473. The next prime is 11110005110507. The reversal of 11110005110500 is 501150001111.

It can be written as a sum of positive squares in 16 ways, for example, as 10085095895616 + 1024909214884 = 3175704^2 + 1012378^2 .

It is a super-2 number, since 2×11110005110500² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11110005110507) 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, 160465890 + ... + 160535110.

It is an arithmetic number, because the mean of its divisors is an integer number (261495623025).

Almost surely, 2^{11110005110500} is an apocalyptic number.

11110005110500 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 11110005110500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551789905200).

11110005110500 is an abundant number, since it is smaller than the sum of its proper divisors (13993574699900).

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

11110005110500 is a wasteful number, since it uses less digits than its factorization.

11110005110500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80338 (or 80326 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 11110005110500 its reverse (501150001111), we get a palindrome (11611155111611).

The spelling of 11110005110500 in words is "eleven trillion, one hundred ten billion, five million, one hundred ten thousand, five hundred".