11553012240 has 720 divisors, whose sum is σ = 47919682944. Its totient is φ = 2289745920.

The previous prime is 11553012197. The next prime is 11553012259. The reversal of 11553012240 is 4221035511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11553012240.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32727904 + ... + 32728256.

Almost surely, 2^11553012240 is an apocalyptic number.

11553012240 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 11553012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23959841472).

11553012240 is an abundant number, since it is smaller than the sum of its proper divisors (36366670704).

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

11553012240 is a wasteful number, since it uses less digits than its factorization.

11553012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11553012240 its reverse (4221035511), we get a palindrome (15774047751).

The spelling of 11553012240 in words is "eleven billion, five hundred fifty-three million, twelve thousand, two hundred forty".