13405215200 has 288 divisors, whose sum is σ = 36813268800. Its totient is φ = 4760770560.

The previous prime is 13405215191. The next prime is 13405215221. The reversal of 13405215200 is 251250431.

It is a super-2 number, since 2×13405215200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50970269 + ... + 50970531.

It is an arithmetic number, because the mean of its divisors is an integer number (127823850).

Almost surely, 2^13405215200 is an apocalyptic number.

13405215200 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 13405215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406634400).

13405215200 is an abundant number, since it is smaller than the sum of its proper divisors (23408053600).

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

13405215200 is a wasteful number, since it uses less digits than its factorization.

13405215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 312 counting only the distinct ones).

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

Adding to 13405215200 its reverse (251250431), we get a palindrome (13656465631).

The spelling of 13405215200 in words is "thirteen billion, four hundred five million, two hundred fifteen thousand, two hundred".