11200067424 has 384 divisors, whose sum is σ = 40493537280. Its totient is φ = 2932733952.

The previous prime is 11200067399. The next prime is 11200067441. The reversal of 11200067424 is 42476000211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13129782 + ... + 13130634.

It is an arithmetic number, because the mean of its divisors is an integer number (105451920).

Almost surely, 2^11200067424 is an apocalyptic number.

11200067424 is a gapful number since it is divisible by the number (14) 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 11200067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246768640).

11200067424 is an abundant number, since it is smaller than the sum of its proper divisors (29293469856).

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

11200067424 is a wasteful number, since it uses less digits than its factorization.

11200067424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11200067424 its reverse (42476000211), we get a palindrome (53676067635).

The spelling of 11200067424 in words is "eleven billion, two hundred million, sixty-seven thousand, four hundred twenty-four".