13405200200 has 96 divisors (see below), whose sum is σ = 35655932160. Its totient is φ = 4591372800.

The previous prime is 13405200191. The next prime is 13405200257. The reversal of 13405200200 is 200250431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539860 + ... + 1548540.

It is an arithmetic number, because the mean of its divisors is an integer number (371415960).

Almost surely, 2^13405200200 is an apocalyptic number.

13405200200 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 13405200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827966080).

13405200200 is an abundant number, since it is smaller than the sum of its proper divisors (22250731960).

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

13405200200 is a wasteful number, since it uses less digits than its factorization.

13405200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 13405200200 its reverse (200250431), we get a palindrome (13605450631).

The spelling of 13405200200 in words is "thirteen billion, four hundred five million, two hundred thousand, two hundred".