12504856085568 has 560 divisors, whose sum is σ = 46235989628928. Its totient is φ = 3246542208000.

The previous prime is 12504856085549. The next prime is 12504856085591. The reversal of 12504856085568 is 86558065840521.

12504856085568 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 4 + 8 + 5 + 60 + 8 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 1090122073 + ... + 1090133543.

Almost surely, 2^{12504856085568} is an apocalyptic number.

12504856085568 is a gapful number since it is divisible by the number (18) 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 12504856085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23117994814464).

12504856085568 is an abundant number, since it is smaller than the sum of its proper divisors (33731133543360).

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

12504856085568 is a wasteful number, since it uses less digits than its factorization.

12504856085568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14244 (or 14225 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 63.

The spelling of 12504856085568 in words is "twelve trillion, five hundred four billion, eight hundred fifty-six million, eighty-five thousand, five hundred sixty-eight".