12851876016 has 300 divisors, whose sum is σ = 43462686960. Its totient is φ = 3655653120.

The previous prime is 12851876003. The next prime is 12851876017. The reversal of 12851876016 is 61067815821.

12851876016 is a `hidden beast` number, since 1 + 28 + 5 + 18 + 7 + 601 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12851876017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27878026 + ... + 27878486.

Almost surely, 2^12851876016 is an apocalyptic number.

12851876016 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 12851876016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21731343480).

12851876016 is an abundant number, since it is smaller than the sum of its proper divisors (30610810944).

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

12851876016 is a wasteful number, since it uses less digits than its factorization.

12851876016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12851876016 in words is "twelve billion, eight hundred fifty-one million, eight hundred seventy-six thousand, sixteen".