11553223400 has 48 divisors (see below), whose sum is σ = 26873240940. Its totient is φ = 4619225600.

The previous prime is 11553223399. The next prime is 11553223427. The reversal of 11553223400 is 432235511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3969252004 + 7583971396 = 63002^2 + 87086^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11553223400.

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 11 ways as a sum of consecutive naturals, for example, 483740 + ... + 507060.

Almost surely, 2^11553223400 is an apocalyptic number.

11553223400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11553223400 is an abundant number, since it is smaller than the sum of its proper divisors (15320017540).

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

11553223400 is a wasteful number, since it uses less digits than its factorization.

11553223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25814 (or 25805 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 11553223400 its reverse (432235511), we get a palindrome (11985458911).

The spelling of 11553223400 in words is "eleven billion, five hundred fifty-three million, two hundred twenty-three thousand, four hundred".