11552463400 has 96 divisors (see below), whose sum is σ = 27568469880. Its totient is φ = 4499456000.

The previous prime is 11552463383. The next prime is 11552463449. The reversal of 11552463400 is 436425511.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 774286276 + 10778177124 = 27826^2 + 103818^2 .

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 23 ways as a sum of consecutive naturals, for example, 5550360 + ... + 5552440.

Almost surely, 2^11552463400 is an apocalyptic number.

11552463400 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 11552463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784234940).

11552463400 is an abundant number, since it is smaller than the sum of its proper divisors (16016006480).

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

11552463400 is a wasteful number, since it uses less digits than its factorization.

11552463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 11552463400 its reverse (436425511), we get a palindrome (11988888911).

The spelling of 11552463400 in words is "eleven billion, five hundred fifty-two million, four hundred sixty-three thousand, four hundred".