11187253440 has 1008 divisors, whose sum is σ = 46481329440. Its totient is φ = 2554675200.

The previous prime is 11187253403. The next prime is 11187253471. The reversal of 11187253440 is 4435278111.

11187253440 is a `hidden beast` number, since 1 + 1 + 1 + 87 + 2 + 534 + 40 = 666.

11187253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11187253395 and 11187253404.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 272859820 + ... + 272859860.

It is an arithmetic number, because the mean of its divisors is an integer number (46112430).

Almost surely, 2^11187253440 is an apocalyptic number.

11187253440 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 11187253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23240664720).

11187253440 is an abundant number, since it is smaller than the sum of its proper divisors (35294076000).

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

11187253440 is a wasteful number, since it uses less digits than its factorization.

11187253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11187253440 in words is "eleven billion, one hundred eighty-seven million, two hundred fifty-three thousand, four hundred forty".