11501145240 has 128 divisors (see below), whose sum is σ = 37239471360. Its totient is φ = 2824809984.

The previous prime is 11501145223. The next prime is 11501145241. The reversal of 11501145240 is 4254110511.

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 11501145240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11501145241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720627 + ... + 736413.

It is an arithmetic number, because the mean of its divisors is an integer number (290933370).

Almost surely, 2^11501145240 is an apocalyptic number.

11501145240 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 11501145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619735680).

11501145240 is an abundant number, since it is smaller than the sum of its proper divisors (25738326120).

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

11501145240 is a wasteful number, since it uses less digits than its factorization.

11501145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16281 (or 16277 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 11501145240 its reverse (4254110511), we get a palindrome (15755255751).

The spelling of 11501145240 in words is "eleven billion, five hundred one million, one hundred forty-five thousand, two hundred forty".