13550104400 has 120 divisors (see below), whose sum is σ = 37373274624. Its totient is φ = 4624704000.

The previous prime is 13550104397. The next prime is 13550104427. The reversal of 13550104400 is 440105531.

13550104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 613550 + ... + 635250.

Almost surely, 2^13550104400 is an apocalyptic number.

13550104400 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 13550104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686637312).

13550104400 is an abundant number, since it is smaller than the sum of its proper divisors (23823170224).

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

13550104400 is a wasteful number, since it uses less digits than its factorization.

13550104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21949 (or 21938 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 13550104400 its reverse (440105531), we get a palindrome (13990209931).

The spelling of 13550104400 in words is "thirteen billion, five hundred fifty million, one hundred four thousand, four hundred".