11087808000 has 640 divisors, whose sum is σ = 40445982720. Its totient is φ = 2683699200.

The previous prime is 11087807993. The next prime is 11087808029. The reversal of 11087808000 is 80878011.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140351961 + ... + 140352039.

It is an arithmetic number, because the mean of its divisors is an integer number (63196848).

Almost surely, 2^11087808000 is an apocalyptic number.

11087808000 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 11087808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222991360).

11087808000 is an abundant number, since it is smaller than the sum of its proper divisors (29358174720).

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

11087808000 is an equidigital number, since it uses as much as digits as its factorization.

11087808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 11087808000 in words is "eleven billion, eighty-seven million, eight hundred eight thousand".