12820725135360 has 768 divisors, whose sum is σ = 49811637657600. Its totient is φ = 3113916825600.

The previous prime is 12820725135233. The next prime is 12820725135389. The reversal of 12820725135360 is 6353152702821.

12820725135360 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 0 + 7 + 251 + 35 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145660965 + ... + 145748955.

It is an arithmetic number, because the mean of its divisors is an integer number (64858903200).

Almost surely, 2^{12820725135360} is an apocalyptic number.

12820725135360 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 12820725135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24905818828800).

12820725135360 is an abundant number, since it is smaller than the sum of its proper divisors (36990912522240).

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

12820725135360 is a wasteful number, since it uses less digits than its factorization.

12820725135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88075 (or 88049 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12820725135360 in words is "twelve trillion, eight hundred twenty billion, seven hundred twenty-five million, one hundred thirty-five thousand, three hundred sixty".