11138002200 has 864 divisors, whose sum is σ = 45103727760. Its totient is φ = 2538086400.

The previous prime is 11138002069. The next prime is 11138002223. The reversal of 11138002200 is 220083111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 182590170 + ... + 182590230.

Almost surely, 2^11138002200 is an apocalyptic number.

11138002200 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 11138002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551863880).

11138002200 is an abundant number, since it is smaller than the sum of its proper divisors (33965725560).

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

11138002200 is a wasteful number, since it uses less digits than its factorization.

11138002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11138002200 its reverse (220083111), we get a palindrome (11358085311).

The spelling of 11138002200 in words is "eleven billion, one hundred thirty-eight million, two thousand, two hundred".