13543200000 has 1080 divisors, whose sum is σ = 57962852640. Its totient is φ = 3110400000.

The previous prime is 13543199953. The next prime is 13543200001. The reversal of 13543200000 is 234531.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13543200001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 712799991 + ... + 712800009.

It is an arithmetic number, because the mean of its divisors is an integer number (53669308).

Almost surely, 2^13543200000 is an apocalyptic number.

13543200000 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 13543200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28981426320).

13543200000 is an abundant number, since it is smaller than the sum of its proper divisors (44419652640).

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

13543200000 is an frugal number, since it uses more digits than its factorization.

13543200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 13543200000 its reverse (234531), we get a palindrome (13543434531).

It can be divided in two parts, 135 and 43200000, that multiplied together give a cube (5832000000 = 1800³).

The spelling of 13543200000 in words is "thirteen billion, five hundred forty-three million, two hundred thousand".