11023435200 has 168 divisors, whose sum is σ = 38069845120. Its totient is φ = 2784844800.

The previous prime is 11023435187. The next prime is 11023435201. The reversal of 11023435200 is 253432011.

It is a super-2 number, since 2×11023435200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023435201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30765 + ... + 151635.

Almost surely, 2^11023435200 is an apocalyptic number.

11023435200 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 11023435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034922560).

11023435200 is an abundant number, since it is smaller than the sum of its proper divisors (27046409920).

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

11023435200 is a wasteful number, since it uses less digits than its factorization.

11023435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120915 (or 120900 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 11023435200 its reverse (253432011), we get a palindrome (11276867211).

The spelling of 11023435200 in words is "eleven billion, twenty-three million, four hundred thirty-five thousand, two hundred".