11005214024 has 64 divisors (see below), whose sum is σ = 24405580800. Its totient is φ = 4552704000.

The previous prime is 11005214021. The next prime is 11005214039. The reversal of 11005214024 is 42041250011.

It is a happy number.

It is a super-2 number, since 2×11005214024² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005213987 and 11005214005.

It is not an unprimeable number, because it can be changed into a prime (11005214021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 688232 + ... + 704040.

It is an arithmetic number, because the mean of its divisors is an integer number (381337200).

Almost surely, 2^11005214024 is an apocalyptic number.

11005214024 is a gapful number since it is divisible by the number (14) 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 11005214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202790400).

11005214024 is an abundant number, since it is smaller than the sum of its proper divisors (13400366776).

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

11005214024 is a wasteful number, since it uses less digits than its factorization.

11005214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16254 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11005214024 its reverse (42041250011), we get a palindrome (53046464035).

The spelling of 11005214024 in words is "eleven billion, five million, two hundred fourteen thousand, twenty-four".