12413587680 has 576 divisors, whose sum is σ = 50870514240. Its totient is φ = 2723217408.

The previous prime is 12413587649. The next prime is 12413587687. The reversal of 12413587680 is 8678531421.

12413587680 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 587 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413587687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6045534 + ... + 6047586.

It is an arithmetic number, because the mean of its divisors is an integer number (88316865).

Almost surely, 2^12413587680 is an apocalyptic number.

12413587680 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 12413587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25435257120).

12413587680 is an abundant number, since it is smaller than the sum of its proper divisors (38456926560).

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

12413587680 is a wasteful number, since it uses less digits than its factorization.

12413587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12413587680 in words is "twelve billion, four hundred thirteen million, five hundred eighty-seven thousand, six hundred eighty".