11535335240 has 256 divisors, whose sum is σ = 31609751040. Its totient is φ = 3732480000.

The previous prime is 11535335219. The next prime is 11535335257. The reversal of 11535335240 is 4253353511.

It is a junction number, because it is equal to n+sod(n) for n = 11535335197 and 11535335206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23686277 + ... + 23686763.

It is an arithmetic number, because the mean of its divisors is an integer number (123475590).

Almost surely, 2^11535335240 is an apocalyptic number.

11535335240 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 11535335240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804875520).

11535335240 is an abundant number, since it is smaller than the sum of its proper divisors (20074415800).

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

11535335240 is a wasteful number, since it uses less digits than its factorization.

11535335240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 11535335240 its reverse (4253353511), we get a palindrome (15788688751).

The spelling of 11535335240 in words is "eleven billion, five hundred thirty-five million, three hundred thirty-five thousand, two hundred forty".