11187707040 has 240 divisors, whose sum is σ = 40325548032. Its totient is φ = 2919753216.

The previous prime is 11187707009. The next prime is 11187707093. The reversal of 11187707040 is 4070778111.

It is a happy number.

11187707040 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 (240).

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 = 11187706986 and 11187707004.

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 39 ways as a sum of consecutive naturals, for example, 599937 + ... + 618303.

Almost surely, 2^11187707040 is an apocalyptic number.

11187707040 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 11187707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162774016).

11187707040 is an abundant number, since it is smaller than the sum of its proper divisors (29137840992).

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

11187707040 is a wasteful number, since it uses less digits than its factorization.

11187707040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441 (or 18424 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 11187707040 in words is "eleven billion, one hundred eighty-seven million, seven hundred seven thousand, forty".