13655443200 has 216 divisors, whose sum is σ = 51504286848. Its totient is φ = 3121213440.

The previous prime is 13655443157. The next prime is 13655443201. The reversal of 13655443200 is 234455631.

It is a super-2 number, since 2×13655443200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13655443201) 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, 83599 + ... + 185201.

Almost surely, 2^13655443200 is an apocalyptic number.

13655443200 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 13655443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25752143424).

13655443200 is an abundant number, since it is smaller than the sum of its proper divisors (37848843648).

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

13655443200 is a wasteful number, since it uses less digits than its factorization.

13655443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101639 (or 101620 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 13655443200 its reverse (234455631), we get a palindrome (13889898831).

The spelling of 13655443200 in words is "thirteen billion, six hundred fifty-five million, four hundred forty-three thousand, two hundred".