11006053110 has 96 divisors (see below), whose sum is σ = 30837669408. Its totient is φ = 2707361280.

The previous prime is 11006053061. The next prime is 11006053111. The reversal of 11006053110 is 1135060011.

It is a super-2 number, since 2×11006053110² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006053111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797845 + ... + 2801775.

It is an arithmetic number, because the mean of its divisors is an integer number (321225723).

Almost surely, 2^11006053110 is an apocalyptic number.

11006053110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006053110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418834704).

11006053110 is an abundant number, since it is smaller than the sum of its proper divisors (19831616298).

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

11006053110 is a wasteful number, since it uses less digits than its factorization.

11006053110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 11006053110 in words is "eleven billion, six million, fifty-three thousand, one hundred ten".