11253150240 has 96 divisors (see below), whose sum is σ = 36048317760. Its totient is φ = 2949970944.

The previous prime is 11253150173. The next prime is 11253150241. The reversal of 11253150240 is 4205135211.

It is a happy number.

11253150240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 11253150240.

It is not an unprimeable number, because it can be changed into a prime (11253150241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170359 + ... + 226998.

It is an arithmetic number, because the mean of its divisors is an integer number (375503310).

Almost surely, 2^11253150240 is an apocalyptic number.

11253150240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11253150240 is an abundant number, since it is smaller than the sum of its proper divisors (24795167520).

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

11253150240 is a wasteful number, since it uses less digits than its factorization.

11253150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397434 (or 397426 counting only the distinct ones).

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

Adding to 11253150240 its reverse (4205135211), we get a palindrome (15458285451).

The spelling of 11253150240 in words is "eleven billion, two hundred fifty-three million, one hundred fifty thousand, two hundred forty".