12600585840 has 320 divisors, whose sum is σ = 42001597440. Its totient is φ = 3118940160.

The previous prime is 12600585799. The next prime is 12600585863. The reversal of 12600585840 is 4858500621.

It is a super-2 number, since 2×12600585840² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 21248584 + ... + 21249176.

It is an arithmetic number, because the mean of its divisors is an integer number (131254992).

Almost surely, 2^12600585840 is an apocalyptic number.

12600585840 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 12600585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000798720).

12600585840 is an abundant number, since it is smaller than the sum of its proper divisors (29401011600).

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

12600585840 is a wasteful number, since it uses less digits than its factorization.

12600585840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 12600585840 in words is "twelve billion, six hundred million, five hundred eighty-five thousand, eight hundred forty".