12585666240 has 336 divisors, whose sum is σ = 51626585088. Its totient is φ = 2751547392.

The previous prime is 12585666227. The next prime is 12585666281. The reversal of 12585666240 is 4266658521.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450109 + ... + 477251.

Almost surely, 2^12585666240 is an apocalyptic number.

12585666240 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 12585666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25813292544).

12585666240 is an abundant number, since it is smaller than the sum of its proper divisors (39040918848).

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

12585666240 is a wasteful number, since it uses less digits than its factorization.

12585666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27196 (or 27183 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12585666240 in words is "twelve billion, five hundred eighty-five million, six hundred sixty-six thousand, two hundred forty".