13530405200 has 120 divisors (see below), whose sum is σ = 35056172928. Its totient is φ = 4988874240.

The previous prime is 13530405197. The next prime is 13530405253. The reversal of 13530405200 is 250403531.

It is a congruent number.

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, 5110277 + ... + 5112923.

Almost surely, 2^13530405200 is an apocalyptic number.

13530405200 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 13530405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528086464).

13530405200 is an abundant number, since it is smaller than the sum of its proper divisors (21525767728).

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

13530405200 is a wasteful number, since it uses less digits than its factorization.

13530405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3650 counting only the distinct ones).

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

Adding to 13530405200 its reverse (250403531), we get a palindrome (13780808731).

The spelling of 13530405200 in words is "thirteen billion, five hundred thirty million, four hundred five thousand, two hundred".