11298268800 has 960 divisors, whose sum is σ = 51421708800. Its totient is φ = 2378833920.

The previous prime is 11298268789. The next prime is 11298268823. The reversal of 11298268800 is 886289211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23586961 + ... + 23587439.

It is an arithmetic number, because the mean of its divisors is an integer number (53564280).

Almost surely, 2^11298268800 is an apocalyptic number.

11298268800 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 11298268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710854400).

11298268800 is an abundant number, since it is smaller than the sum of its proper divisors (40123440000).

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

11298268800 is a wasteful number, since it uses less digits than its factorization.

11298268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11298268800 in words is "eleven billion, two hundred ninety-eight million, two hundred sixty-eight thousand, eight hundred".