11200525248 has 112 divisors (see below), whose sum is σ = 32859146880. Its totient is φ = 3338419200.

The previous prime is 11200525241. The next prime is 11200525321. The reversal of 11200525248 is 84252500211.

11200525248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200525241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85363 + ... + 172301.

It is an arithmetic number, because the mean of its divisors is an integer number (293385240).

Almost surely, 2^11200525248 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 11200525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429573440).

11200525248 is an abundant number, since it is smaller than the sum of its proper divisors (21658621632).

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

11200525248 is a wasteful number, since it uses less digits than its factorization.

11200525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87026 (or 87016 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 11200525248 in words is "eleven billion, two hundred million, five hundred twenty-five thousand, two hundred forty-eight".