13553616400 has 45 divisors (see below), whose sum is σ = 32568158343. Its totient is φ = 5420515200.

The previous prime is 13553616359. The next prime is 13553616437. The reversal of 13553616400 is 461635531.

The square root of 13553616400 is 116420.

It is a perfect power (a square), and thus also a powerful number.

13553616400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 995276304 + 12558340096 = 31548^2 + 112064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2325490 + ... + 2331310.

Almost surely, 2^13553616400 is an apocalyptic number.

13553616400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13553616400 is the 116420-th square number.

It is an amenable number.

13553616400 is an abundant number, since it is smaller than the sum of its proper divisors (19014541943).

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

13553616400 is an frugal number, since it uses more digits than its factorization.

13553616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Multiplying 13553616400 by its product of nonzero digits (32400), we get a square (439137171360000 = 20955600²).

The spelling of 13553616400 in words is "thirteen billion, five hundred fifty-three million, six hundred sixteen thousand, four hundred".