13554345200 has 120 divisors (see below), whose sum is σ = 35571468816. Its totient is φ = 4922368000.

The previous prime is 13554345193. The next prime is 13554345223. The reversal of 13554345200 is 254345531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4455680 + ... + 4458720.

Almost surely, 2^13554345200 is an apocalyptic number.

13554345200 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 13554345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17785734408).

13554345200 is an abundant number, since it is smaller than the sum of its proper divisors (22017123616).

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

13554345200 is a wasteful number, since it uses less digits than its factorization.

13554345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 13554345200 in words is "thirteen billion, five hundred fifty-four million, three hundred forty-five thousand, two hundred".