12887626752 has 792 divisors, whose sum is σ = 50738874368. Its totient is φ = 3065610240.

The previous prime is 12887626733. The next prime is 12887626811. The reversal of 12887626752 is 25762678821.

12887626752 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 626 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101477313 + ... + 101477439.

Almost surely, 2^12887626752 is an apocalyptic number.

12887626752 is a gapful number since it is divisible by the number (12) 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 12887626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25369437184).

12887626752 is an abundant number, since it is smaller than the sum of its proper divisors (37851247616).

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

12887626752 is a wasteful number, since it uses less digits than its factorization.

12887626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 12887626752 in words is "twelve billion, eight hundred eighty-seven million, six hundred twenty-six thousand, seven hundred fifty-two".