11681088000 has 320 divisors, whose sum is σ = 39358230912. Its totient is φ = 3073228800.

The previous prime is 11681087983. The next prime is 11681088019. The reversal of 11681088000 is 88018611.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15935634 + ... + 15936366.

Almost surely, 2^11681088000 is an apocalyptic number.

11681088000 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 11681088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679115456).

11681088000 is an abundant number, since it is smaller than the sum of its proper divisors (27677142912).

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

11681088000 is an frugal number, since it uses more digits than its factorization.

11681088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The spelling of 11681088000 in words is "eleven billion, six hundred eighty-one million, eighty-eight thousand".