12483316759680 has 384 divisors, whose sum is σ = 47554597949040. Its totient is φ = 2997868953600.

The previous prime is 12483316759657. The next prime is 12483316759787. The reversal of 12483316759680 is 8695761338421.

12483316759680 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 3 + 31 + 6 + 7 + 596 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 504020483136 + 11979296276544 = 709944^2 + 3461112^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037020 + ... + 5103140.

It is a 1-persistent number, because it is pandigital, but 2⋅12483316759680 = 24966633519360 is not.

Almost surely, 2^{12483316759680} is an apocalyptic number.

12483316759680 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 12483316759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777298974520).

12483316759680 is an abundant number, since it is smaller than the sum of its proper divisors (35071281189360).

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

12483316759680 is a wasteful number, since it uses less digits than its factorization.

12483316759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066200 (or 4066185 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 12483316759680 in words is "twelve trillion, four hundred eighty-three billion, three hundred sixteen million, seven hundred fifty-nine thousand, six hundred eighty".