12887874438516 has 648 divisors, whose sum is σ = 44662341937920. Its totient is φ = 3201872224320.

The previous prime is 12887874438457. The next prime is 12887874438521. The reversal of 12887874438516 is 61583447878821.

12887874438516 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 8 + 74 + 4 + 38 + 516 = 666.

12887874438516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 338716605 + ... + 338754651.

Almost surely, 2^{12887874438516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12887874438516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22331170968960).

12887874438516 is an abundant number, since it is smaller than the sum of its proper divisors (31774467499404).

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

12887874438516 is a wasteful number, since it uses less digits than its factorization.

12887874438516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38142 (or 38093 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 12887874438516 in words is "twelve trillion, eight hundred eighty-seven billion, eight hundred seventy-four million, four hundred thirty-eight thousand, five hundred sixteen".