11133350400 has 240 divisors, whose sum is σ = 36923065344. Its totient is φ = 2957230080.

The previous prime is 11133350387. The next prime is 11133350441. The reversal of 11133350400 is 405333111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11133350400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14706822 + ... + 14707578.

Almost surely, 2^11133350400 is an apocalyptic number.

11133350400 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 11133350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461532672).

11133350400 is an abundant number, since it is smaller than the sum of its proper divisors (25789714944).

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

11133350400 is an equidigital number, since it uses as much as digits as its factorization.

11133350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 11133350400 its reverse (405333111), we get a palindrome (11538683511).

The spelling of 11133350400 in words is "eleven billion, one hundred thirty-three million, three hundred fifty thousand, four hundred".