11298067200 has 486 divisors, whose sum is σ = 46999676724. Its totient is φ = 2581770240.

The previous prime is 11298067189. The next prime is 11298067243. The reversal of 11298067200 is 276089211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2820399 + ... + 2824401.

Almost surely, 2^11298067200 is an apocalyptic number.

11298067200 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 11298067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23499838362).

11298067200 is an abundant number, since it is smaller than the sum of its proper divisors (35701609524).

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

11298067200 is a wasteful number, since it uses less digits than its factorization.

11298067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11298067200 in words is "eleven billion, two hundred ninety-eight million, sixty-seven thousand, two hundred".