11305503040 has 224 divisors, whose sum is σ = 29679229440. Its totient is φ = 4076814336.

The previous prime is 11305503023. The next prime is 11305503073. The reversal of 11305503040 is 4030550311.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 47303241 + ... + 47303479.

It is an arithmetic number, because the mean of its divisors is an integer number (132496560).

Almost surely, 2^11305503040 is an apocalyptic number.

11305503040 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 11305503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839614720).

11305503040 is an abundant number, since it is smaller than the sum of its proper divisors (18373726400).

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

11305503040 is a wasteful number, since it uses less digits than its factorization.

11305503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 11305503040 in words is "eleven billion, three hundred five million, five hundred three thousand, forty".