11532253200 has 240 divisors, whose sum is σ = 39928027776. Its totient is φ = 2828390400.

The previous prime is 11532253189. The next prime is 11532253211. The reversal of 11532253200 is 235223511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11532253189) and next prime (11532253211).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 4850412 + ... + 4852788.

Almost surely, 2^11532253200 is an apocalyptic number.

11532253200 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 11532253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964013888).

11532253200 is an abundant number, since it is smaller than the sum of its proper divisors (28395774576).

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

11532253200 is a wasteful number, since it uses less digits than its factorization.

11532253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 11532253200 its reverse (235223511), we get a palindrome (11767476711).

The spelling of 11532253200 in words is "eleven billion, five hundred thirty-two million, two hundred fifty-three thousand, two hundred".