12840515856 has 405 divisors, whose sum is σ = 44748725463. Its totient is φ = 3426675840.

The previous prime is 12840515827. The next prime is 12840515867. The reversal of 12840515856 is 65851504821.

The square root of 12840515856 is 113316.

It is a perfect power (a square), and thus also a powerful number.

12840515856 is a `hidden beast` number, since 1 + 2 + 84 + 0 + 515 + 8 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 180852301 + ... + 180852371.

Almost surely, 2^12840515856 is an apocalyptic number.

12840515856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12840515856 is the 113316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840515856

12840515856 is an abundant number, since it is smaller than the sum of its proper divisors (31908209607).

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

12840515856 is a wasteful number, since it uses less digits than its factorization.

12840515856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 12840515856 in words is "twelve billion, eight hundred forty million, five hundred fifteen thousand, eight hundred fifty-six".