11433052800 has 1008 divisors, whose sum is σ = 47434505850. Its totient is φ = 2717245440.

The previous prime is 11433052783. The next prime is 11433052847. The reversal of 11433052800 is 825033411.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 185177664 + 11247875136 = 13608^2 + 106056^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 394243186 + ... + 394243214.

Almost surely, 2^11433052800 is an apocalyptic number.

11433052800 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 11433052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23717252925).

11433052800 is an abundant number, since it is smaller than the sum of its proper divisors (36001453050).

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

11433052800 is an equidigital number, since it uses as much as digits as its factorization.

11433052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11433052800 in words is "eleven billion, four hundred thirty-three million, fifty-two thousand, eight hundred".