12594666240 has 864 divisors, whose sum is σ = 51656458560. Its totient is φ = 2887778304.

The previous prime is 12594666191. The next prime is 12594666241. The reversal of 12594666240 is 4266649521.

12594666240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12594666241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129841872 + ... + 129841968.

Almost surely, 2^12594666240 is an apocalyptic number.

12594666240 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 12594666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828229280).

12594666240 is an abundant number, since it is smaller than the sum of its proper divisors (39061792320).

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

12594666240 is a wasteful number, since it uses less digits than its factorization.

12594666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12594666240 in words is "twelve billion, five hundred ninety-four million, six hundred sixty-six thousand, two hundred forty".