13653800000 has 168 divisors, whose sum is σ = 34127081352. Its totient is φ = 5419520000.

The previous prime is 13653799997. The next prime is 13653800021. The reversal of 13653800000 is 835631.

It can be written as a sum of positive squares in 12 ways, for example, as 13330087936 + 323712064 = 115456^2 + 17992^2 .

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, 46599854 + ... + 46600146.

It is an arithmetic number, because the mean of its divisors is an integer number (203137389).

Almost surely, 2^13653800000 is an apocalyptic number.

13653800000 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 13653800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063540676).

13653800000 is an abundant number, since it is smaller than the sum of its proper divisors (20473281352).

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

13653800000 is an frugal number, since it uses more digits than its factorization.

13653800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 13653800000 in words is "thirteen billion, six hundred fifty-three million, eight hundred thousand".