11200002008 has 64 divisors (see below), whose sum is σ = 22958812800. Its totient is φ = 5091310080.

The previous prime is 11200001993. The next prime is 11200002019. The reversal of 11200002008 is 80020000211.

It is a junction number, because it is equal to n+sod(n) for n = 11200001983 and 11200002001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1958273 + ... + 1963983.

It is an arithmetic number, because the mean of its divisors is an integer number (358731450).

Almost surely, 2^11200002008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479406400).

11200002008 is an abundant number, since it is smaller than the sum of its proper divisors (11758810792).

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

11200002008 is a wasteful number, since it uses less digits than its factorization.

11200002008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11200002008 its reverse (80020000211), we get a palindrome (91220002219).

The spelling of 11200002008 in words is "eleven billion, two hundred million, two thousand, eight".