13608220200 has 192 divisors, whose sum is σ = 43818624000. Its totient is φ = 3491024640.

The previous prime is 13608220189. The next prime is 13608220201. The reversal of 13608220200 is 202280631.

13608220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13608220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1659711 + ... + 1667889.

It is an arithmetic number, because the mean of its divisors is an integer number (228222000).

Almost surely, 2^13608220200 is an apocalyptic number.

13608220200 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 13608220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909312000).

13608220200 is an abundant number, since it is smaller than the sum of its proper divisors (30210403800).

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

13608220200 is a wasteful number, since it uses less digits than its factorization.

13608220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 13608220200 in words is "thirteen billion, six hundred eight million, two hundred twenty thousand, two hundred".