12740484556800 has 6048 divisors, whose sum is σ = 66138661854720. Its totient is φ = 2364899328000.

The previous prime is 12740484556721. The next prime is 12740484556819. The reversal of 12740484556800 is 865548404721.

12740484556800 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 0 + 4 + 8 + 4 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 410983372785 + ... + 410983372815.

Almost surely, 2^{12740484556800} is an apocalyptic number.

12740484556800 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 12740484556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33069330927360).

12740484556800 is an abundant number, since it is smaller than the sum of its proper divisors (53398177297920).

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

12740484556800 is a wasteful number, since it uses less digits than its factorization.

12740484556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 12740484556800 in words is "twelve trillion, seven hundred forty billion, four hundred eighty-four million, five hundred fifty-six thousand, eight hundred".