12554583518400 has 1344 divisors, whose sum is σ = 54305110917120. Its totient is φ = 2460052684800.

The previous prime is 12554583518357. The next prime is 12554583518431. The reversal of 12554583518400 is 481538545521.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1565991192 + ... + 1565999208.

It is an arithmetic number, because the mean of its divisors is an integer number (40405588480).

Almost surely, 2^{12554583518400} is an apocalyptic number.

12554583518400 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 12554583518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152555458560).

12554583518400 is an abundant number, since it is smaller than the sum of its proper divisors (41750527398720).

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

12554583518400 is a wasteful number, since it uses less digits than its factorization.

12554583518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 51.

The spelling of 12554583518400 in words is "twelve trillion, five hundred fifty-four billion, five hundred eighty-three million, five hundred eighteen thousand, four hundred".