11133302400 has 576 divisors, whose sum is σ = 43861746240. Its totient is φ = 2666496000.

The previous prime is 11133302399. The next prime is 11133302437. The reversal of 11133302400 is 420333111.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 35798245 + ... + 35798555.

It is an arithmetic number, because the mean of its divisors is an integer number (76148865).

Almost surely, 2^11133302400 is an apocalyptic number.

11133302400 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 11133302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930873120).

11133302400 is an abundant number, since it is smaller than the sum of its proper divisors (32728443840).

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

11133302400 is a wasteful number, since it uses less digits than its factorization.

11133302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11133302400 its reverse (420333111), we get a palindrome (11553635511).

The spelling of 11133302400 in words is "eleven billion, one hundred thirty-three million, three hundred two thousand, four hundred".