13550032400 has 120 divisors (see below), whose sum is σ = 34319232000. Its totient is φ = 5126976000.

The previous prime is 13550032387. The next prime is 13550032409. The reversal of 13550032400 is 423005531.

It is not an unprimeable number, because it can be changed into a prime (13550032409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8746826 + ... + 8748374.

It is an arithmetic number, because the mean of its divisors is an integer number (285993600).

Almost surely, 2^13550032400 is an apocalyptic number.

13550032400 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 13550032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159616000).

13550032400 is an abundant number, since it is smaller than the sum of its proper divisors (20769199600).

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

13550032400 is a wasteful number, since it uses less digits than its factorization.

13550032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 13550032400 its reverse (423005531), we get a palindrome (13973037931).

The spelling of 13550032400 in words is "thirteen billion, five hundred fifty million, thirty-two thousand, four hundred".