12584125549840 has 480 divisors, whose sum is σ = 33839795364480. Its totient is φ = 4337448321024.

The previous prime is 12584125549727. The next prime is 12584125549861. The reversal of 12584125549840 is 4894552148521.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14349059482 + ... + 14349060358.

It is an arithmetic number, because the mean of its divisors is an integer number (70499573676).

Almost surely, 2^{12584125549840} is an apocalyptic number.

12584125549840 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 12584125549840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16919897682240).

12584125549840 is an abundant number, since it is smaller than the sum of its proper divisors (21255669814640).

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

12584125549840 is a wasteful number, since it uses less digits than its factorization.

12584125549840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 58.

The spelling of 12584125549840 in words is "twelve trillion, five hundred eighty-four billion, one hundred twenty-five million, five hundred forty-nine thousand, eight hundred forty".