12376585506816 has 520 divisors, whose sum is σ = 37860757355520. Its totient is φ = 4026890059776.

The previous prime is 12376585506757. The next prime is 12376585506821. The reversal of 12376585506816 is 61860558567321.

12376585506816 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 6 + 5 + 8 + 550 + 68 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7469272260 + ... + 7469273916.

Almost surely, 2^{12376585506816} is an apocalyptic number.

12376585506816 is a gapful number since it is divisible by the number (16) 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 12376585506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18930378677760).

12376585506816 is an abundant number, since it is smaller than the sum of its proper divisors (25484171848704).

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

12376585506816 is an equidigital number, since it uses as much as digits as its factorization.

12376585506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 12376585506816 in words is "twelve trillion, three hundred seventy-six billion, five hundred eighty-five million, five hundred six thousand, eight hundred sixteen".