11587517760 has 896 divisors, whose sum is σ = 48502702080. Its totient is φ = 2277310464.

The previous prime is 11587517731. The next prime is 11587517779. The reversal of 11587517760 is 6771578511.

11587517760 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 (48).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 146677401 + ... + 146677479.

It is an arithmetic number, because the mean of its divisors is an integer number (54132480).

Almost surely, 2^11587517760 is an apocalyptic number.

11587517760 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 11587517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24251351040).

11587517760 is an abundant number, since it is smaller than the sum of its proper divisors (36915184320).

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

11587517760 is a wasteful number, since it uses less digits than its factorization.

11587517760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 48.

The spelling of 11587517760 in words is "eleven billion, five hundred eighty-seven million, five hundred seventeen thousand, seven hundred sixty".