13504113200 has 240 divisors, whose sum is σ = 36489093120. Its totient is φ = 4772597760.

The previous prime is 13504113173. The next prime is 13504113229. The reversal of 13504113200 is 231140531.

It is a super-2 number, since 2×13504113200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 16407989 + ... + 16408811.

It is an arithmetic number, because the mean of its divisors is an integer number (152037888).

Almost surely, 2^13504113200 is an apocalyptic number.

13504113200 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 13504113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244546560).

13504113200 is an abundant number, since it is smaller than the sum of its proper divisors (22984979920).

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

13504113200 is a wasteful number, since it uses less digits than its factorization.

13504113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13504113200 its reverse (231140531), we get a palindrome (13735253731).

The spelling of 13504113200 in words is "thirteen billion, five hundred four million, one hundred thirteen thousand, two hundred".