11305008000 has 1280 divisors, whose sum is σ = 50136166080. Its totient is φ = 2488320000.

The previous prime is 11305007953. The next prime is 11305008017. The reversal of 11305008000 is 80050311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185327970 + ... + 185328030.

Almost surely, 2^11305008000 is an apocalyptic number.

11305008000 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 11305008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25068083040).

11305008000 is an abundant number, since it is smaller than the sum of its proper divisors (38831158080).

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

11305008000 is a wasteful number, since it uses less digits than its factorization.

11305008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11305008000 its reverse (80050311), we get a palindrome (11385058311).

The spelling of 11305008000 in words is "eleven billion, three hundred five million, eight thousand".