11217250800 has 720 divisors, whose sum is σ = 46745008128. Its totient is φ = 2437171200.

The previous prime is 11217250757. The next prime is 11217250801. The reversal of 11217250800 is 805271211.

11217250800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11217250801) 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 143 ways as a sum of consecutive naturals, for example, 64839514 + ... + 64839686.

Almost surely, 2^11217250800 is an apocalyptic number.

11217250800 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 11217250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372504064).

11217250800 is an abundant number, since it is smaller than the sum of its proper divisors (35527757328).

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

11217250800 is a wasteful number, since it uses less digits than its factorization.

11217250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 11217250800 in words is "eleven billion, two hundred seventeen million, two hundred fifty thousand, eight hundred".