12534568300800 has 2592 divisors, whose sum is σ = 57658948757760. Its totient is φ = 2641162567680.

The previous prime is 12534568300781. The next prime is 12534568300801. The reversal of 12534568300800 is 800386543521.

12534568300800 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 568 + 3 + 0 + 0 + 80 + 0 = 666.

12534568300800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12534568300801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16558214022 + ... + 16558214778.

Almost surely, 2^{12534568300800} is an apocalyptic number.

12534568300800 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 12534568300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28829474378880).

12534568300800 is an abundant number, since it is smaller than the sum of its proper divisors (45124380456960).

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

12534568300800 is an frugal number, since it uses more digits than its factorization.

12534568300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12534568300800 in words is "twelve trillion, five hundred thirty-four billion, five hundred sixty-eight million, three hundred thousand, eight hundred".