12556719459840 has 320 divisors, whose sum is σ = 41154574063680. Its totient is φ = 3264148930560.

The previous prime is 12556719459793. The next prime is 12556719459853. The reversal of 12556719459840 is 4895491765521.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405864852 + ... + 405895788.

It is an arithmetic number, because the mean of its divisors is an integer number (128608043949).

Almost surely, 2^{12556719459840} is an apocalyptic number.

12556719459840 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 12556719459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20577287031840).

12556719459840 is an abundant number, since it is smaller than the sum of its proper divisors (28597854603840).

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

12556719459840 is a wasteful number, since it uses less digits than its factorization.

12556719459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32293 (or 32277 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 12556719459840 in words is "twelve trillion, five hundred fifty-six billion, seven hundred nineteen million, four hundred fifty-nine thousand, eight hundred forty".