11587680000 has 540 divisors, whose sum is σ = 45033428440. Its totient is φ = 2847744000.

The previous prime is 11587679977. The next prime is 11587680023. The reversal of 11587680000 is 8678511.

11587680000 is a `hidden beast` number, since 11 + 587 + 68 + 0 + 0 + 0 + 0 = 666.

11587680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11587679977) and next prime (11587680023).

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

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 59 ways as a sum of consecutive naturals, for example, 18719691 + ... + 18720309.

Almost surely, 2^11587680000 is an apocalyptic number.

11587680000 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 11587680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516714220).

11587680000 is an abundant number, since it is smaller than the sum of its proper divisors (33445748440).

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

11587680000 is an equidigital number, since it uses as much as digits as its factorization.

11587680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11587680000 in words is "eleven billion, five hundred eighty-seven million, six hundred eighty thousand".