11071700200 has 96 divisors (see below), whose sum is σ = 28735169760. Its totient is φ = 3932409600.

The previous prime is 11071700173. The next prime is 11071700209. The reversal of 11071700200 is 200717011.

It is not an unprimeable number, because it can be changed into a prime (11071700209) by changing a digit.

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, 36082 + ... + 153118.

It is an arithmetic number, because the mean of its divisors is an integer number (299324685).

Almost surely, 2^11071700200 is an apocalyptic number.

11071700200 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 11071700200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367584880).

11071700200 is an abundant number, since it is smaller than the sum of its proper divisors (17663469560).

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

11071700200 is a wasteful number, since it uses less digits than its factorization.

11071700200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117107 (or 117098 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The spelling of 11071700200 in words is "eleven billion, seventy-one million, seven hundred thousand, two hundred".