11008885800 has 192 divisors, whose sum is σ = 38096847360. Its totient is φ = 2606688000.

The previous prime is 11008885799. The next prime is 11008885801. The reversal of 11008885800 is 858880011.

It is an interprime number because it is at equal distance from previous prime (11008885799) and next prime (11008885801).

It is not an unprimeable number, because it can be changed into a prime (11008885801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 264405 + ... + 303195.

It is an arithmetic number, because the mean of its divisors is an integer number (198421080).

Almost surely, 2^11008885800 is an apocalyptic number.

11008885800 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 11008885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048423680).

11008885800 is an abundant number, since it is smaller than the sum of its proper divisors (27087961560).

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

11008885800 is a wasteful number, since it uses less digits than its factorization.

11008885800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38864 (or 38855 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 39.

The spelling of 11008885800 in words is "eleven billion, eight million, eight hundred eighty-five thousand, eight hundred".