11305225040 has 80 divisors (see below), whose sum is σ = 26670673920. Its totient is φ = 4456166400.

The previous prime is 11305225039. The next prime is 11305225079. The reversal of 11305225040 is 4052250311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11305225040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11305224997 and 11305225015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1530476 + ... + 1537844.

It is an arithmetic number, because the mean of its divisors is an integer number (333383424).

Almost surely, 2^11305225040 is an apocalyptic number.

11305225040 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 11305225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335336960).

11305225040 is an abundant number, since it is smaller than the sum of its proper divisors (15365448880).

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

11305225040 is a wasteful number, since it uses less digits than its factorization.

11305225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 11305225040 its reverse (4052250311), we get a palindrome (15357475351).

The spelling of 11305225040 in words is "eleven billion, three hundred five million, two hundred twenty-five thousand, forty".