11532442400 has 72 divisors (see below), whose sum is σ = 28174110804. Its totient is φ = 4609612800.

The previous prime is 11532442381. The next prime is 11532442447. The reversal of 11532442400 is 424423511.

It can be written as a sum of positive squares in 6 ways, for example, as 3474866704 + 8057575696 = 58948^2 + 89764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11532442400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292354 + ... + 1301246.

Almost surely, 2^11532442400 is an apocalyptic number.

11532442400 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 11532442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087055402).

11532442400 is an abundant number, since it is smaller than the sum of its proper divisors (16641668404).

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

11532442400 is a wasteful number, since it uses less digits than its factorization.

11532442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10534 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 11532442400 its reverse (424423511), we get a palindrome (11956865911).

The spelling of 11532442400 in words is "eleven billion, five hundred thirty-two million, four hundred forty-two thousand, four hundred".