11003813800 has 96 divisors (see below), whose sum is σ = 29271340800. Its totient is φ = 3768526080.

The previous prime is 11003813791. The next prime is 11003813861. The reversal of 11003813800 is 831830011.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414321 + ... + 1422079.

It is an arithmetic number, because the mean of its divisors is an integer number (304909800).

Almost surely, 2^11003813800 is an apocalyptic number.

11003813800 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 11003813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635670400).

11003813800 is an abundant number, since it is smaller than the sum of its proper divisors (18267527000).

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

11003813800 is a wasteful number, since it uses less digits than its factorization.

11003813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8795 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 11003813800 in words is "eleven billion, three million, eight hundred thirteen thousand, eight hundred".