12525456384000 has 3584 divisors, whose sum is σ = 57942282977280. Its totient is φ = 2637221068800.

The previous prime is 12525456383941. The next prime is 12525456384011. The reversal of 12525456384000 is 48365452521.

12525456384000 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 5 + 4 + 5 + 638 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 266499071977 + ... + 266499072023.

Almost surely, 2^{12525456384000} is an apocalyptic number.

12525456384000 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 12525456384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28971141488640).

12525456384000 is an abundant number, since it is smaller than the sum of its proper divisors (45416826593280).

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

12525456384000 is an frugal number, since it uses more digits than its factorization.

12525456384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 12525456384000 in words is "twelve trillion, five hundred twenty-five billion, four hundred fifty-six million, three hundred eighty-four thousand".