11052430400 has 126 divisors (see below), whose sum is σ = 29893522890. Its totient is φ = 4018995200.

The previous prime is 11052430391. The next prime is 11052430409. The reversal of 11052430400 is 403425011.

It is an interprime number because it is at equal distance from previous prime (11052430391) and next prime (11052430409).

It can be written as a sum of positive squares in 3 ways, for example, as 487879744 + 10564550656 = 22088^2 + 102784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11052430409) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 165056 + ... + 222144.

Almost surely, 2^11052430400 is an apocalyptic number.

11052430400 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 11052430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946761445).

11052430400 is an abundant number, since it is smaller than the sum of its proper divisors (18841092490).

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

11052430400 is a wasteful number, since it uses less digits than its factorization.

11052430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57133 (or 57107 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 11052430400 its reverse (403425011), we get a palindrome (11455855411).

The spelling of 11052430400 in words is "eleven billion, fifty-two million, four hundred thirty thousand, four hundred".