12531594240 has 880 divisors, whose sum is σ = 50932373184. Its totient is φ = 2919628800.

The previous prime is 12531594239. The next prime is 12531594241. The reversal of 12531594240 is 4249513521.

12531594240 is a `hidden beast` number, since 1 + 25 + 3 + 1 + 594 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12531594239) and next prime (12531594241).

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12531594195 and 12531594204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531594241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187038687 + ... + 187038753.

Almost surely, 2^12531594240 is an apocalyptic number.

12531594240 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 12531594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25466186592).

12531594240 is an abundant number, since it is smaller than the sum of its proper divisors (38400778944).

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

12531594240 is a wasteful number, since it uses less digits than its factorization.

12531594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12531594240 in words is "twelve billion, five hundred thirty-one million, five hundred ninety-four thousand, two hundred forty".