12587457516480 has 3360 divisors, whose sum is σ = 60108386849280. Its totient is φ = 2428441067520.

The previous prime is 12587457516467. The next prime is 12587457516521. The reversal of 12587457516480 is 8461575478521.

12587457516480 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 7 + 4 + 575 + 16 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 80174888562 + ... + 80174888718.

It is an arithmetic number, because the mean of its divisors is an integer number (17889400848).

Almost surely, 2^{12587457516480} is an apocalyptic number.

12587457516480 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 12587457516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30054193424640).

12587457516480 is an abundant number, since it is smaller than the sum of its proper divisors (47520929332800).

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

12587457516480 is a wasteful number, since it uses less digits than its factorization.

12587457516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 12587457516480 in words is "twelve trillion, five hundred eighty-seven billion, four hundred fifty-seven million, five hundred sixteen thousand, four hundred eighty".