11303308800 has 720 divisors, whose sum is σ = 47018454912. Its totient is φ = 2539929600.

The previous prime is 11303308787. The next prime is 11303308847. The reversal of 11303308800 is 880330311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86284735 + ... + 86284865.

Almost surely, 2^11303308800 is an apocalyptic number.

11303308800 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 11303308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23509227456).

11303308800 is an abundant number, since it is smaller than the sum of its proper divisors (35715146112).

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

11303308800 is a wasteful number, since it uses less digits than its factorization.

11303308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11303308800 in words is "eleven billion, three hundred three million, three hundred eight thousand, eight hundred".