12687403960 has 256 divisors, whose sum is σ = 37858544640. Its totient is φ = 3704709120.

The previous prime is 12687403931. The next prime is 12687403973. The reversal of 12687403960 is 6930478621.

It is a self number, because there is not a number n which added to its sum of digits gives 12687403960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15341067 + ... + 15341893.

It is an arithmetic number, because the mean of its divisors is an integer number (147884940).

Almost surely, 2^12687403960 is an apocalyptic number.

12687403960 is a gapful number since it is divisible by the number (10) 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 12687403960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929272320).

12687403960 is an abundant number, since it is smaller than the sum of its proper divisors (25171140680).

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

12687403960 is a wasteful number, since it uses less digits than its factorization.

12687403960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 12687403960 in words is "twelve billion, six hundred eighty-seven million, four hundred three thousand, nine hundred sixty".