11005110110500 has 96 divisors (see below), whose sum is σ = 26222039520768. Its totient is φ = 4001573664000.

The previous prime is 11005110110459. The next prime is 11005110110521. The reversal of 11005110110500 is 501101150011.

It is a super-2 number, since 2×11005110110500² (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 31 ways as a sum of consecutive naturals, for example, 86963272 + ... + 87089728.

It is an arithmetic number, because the mean of its divisors is an integer number (273146245008).

Almost surely, 2^{11005110110500} is an apocalyptic number.

11005110110500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005110110500 is an abundant number, since it is smaller than the sum of its proper divisors (15216929410268).

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

11005110110500 is a wasteful number, since it uses less digits than its factorization.

11005110110500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142310 (or 142298 counting only the distinct ones).

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

Adding to 11005110110500 its reverse (501101150011), we get a palindrome (11506211260511).

The spelling of 11005110110500 in words is "eleven trillion, five billion, one hundred ten million, one hundred ten thousand, five hundred".