11305534240 has 192 divisors, whose sum is σ = 35861978880. Its totient is φ = 3252695040.

The previous prime is 11305534193. The next prime is 11305534271. The reversal of 11305534240 is 4243550311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11305534199 and 11305534208.

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, 124866 + ... + 195454.

It is an arithmetic number, because the mean of its divisors is an integer number (186781140).

Almost surely, 2^11305534240 is an apocalyptic number.

11305534240 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 11305534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930989440).

11305534240 is an abundant number, since it is smaller than the sum of its proper divisors (24556444640).

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

11305534240 is a wasteful number, since it uses less digits than its factorization.

11305534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70635 (or 70627 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

It can be divided in two parts, 11305 and 534240, that added together give a palindrome (545545).

The spelling of 11305534240 in words is "eleven billion, three hundred five million, five hundred thirty-four thousand, two hundred forty".