11052224000 has 320 divisors, whose sum is σ = 29683368000. Its totient is φ = 4091904000.

The previous prime is 11052223997. The next prime is 11052224003. The reversal of 11052224000 is 42225011.

It is an interprime number because it is at equal distance from previous prime (11052223997) and next prime (11052224003).

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 11052224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052224003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74175926 + ... + 74176074.

It is an arithmetic number, because the mean of its divisors is an integer number (92760525).

Almost surely, 2^11052224000 is an apocalyptic number.

11052224000 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 11052224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841684000).

11052224000 is an abundant number, since it is smaller than the sum of its proper divisors (18631144000).

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

11052224000 is an equidigital number, since it uses as much as digits as its factorization.

11052224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 11052224000 its reverse (42225011), we get a palindrome (11094449011).

The spelling of 11052224000 in words is "eleven billion, fifty-two million, two hundred twenty-four thousand".