13655105200 has 120 divisors (see below), whose sum is σ = 35898885360. Its totient is φ = 4950220800.

The previous prime is 13655105197. The next prime is 13655105209. The reversal of 13655105200 is 250155631.

It is not an unprimeable number, because it can be changed into a prime (13655105209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478196 + ... + 1487404.

It is an arithmetic number, because the mean of its divisors is an integer number (299157378).

Almost surely, 2^13655105200 is an apocalyptic number.

13655105200 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 13655105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17949442680).

13655105200 is an abundant number, since it is smaller than the sum of its proper divisors (22243780160).

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

13655105200 is a wasteful number, since it uses less digits than its factorization.

13655105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 13655105200 in words is "thirteen billion, six hundred fifty-five million, one hundred five thousand, two hundred".