12681588640 has 384 divisors, whose sum is σ = 37035532800. Its totient is φ = 4011786240.

The previous prime is 12681588587. The next prime is 12681588649. The reversal of 12681588640 is 4688518621.

It is not an unprimeable number, because it can be changed into a prime (12681588649) by changing a digit.

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, 118519467 + ... + 118519573.

It is an arithmetic number, because the mean of its divisors is an integer number (96446700).

Almost surely, 2^12681588640 is an apocalyptic number.

12681588640 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 12681588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517766400).

12681588640 is an abundant number, since it is smaller than the sum of its proper divisors (24353944160).

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

12681588640 is a wasteful number, since it uses less digits than its factorization.

12681588640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 12681588640 in words is "twelve billion, six hundred eighty-one million, five hundred eighty-eight thousand, six hundred forty".