12580304256 has 384 divisors, whose sum is σ = 40606151040. Its totient is φ = 3713679360.

The previous prime is 12580304239. The next prime is 12580304257. The reversal of 12580304256 is 65240308521.

12580304256 is a `hidden beast` number, since 1 + 2 + 580 + 30 + 42 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12580304256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580304257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42936046 + ... + 42936338.

It is an arithmetic number, because the mean of its divisors is an integer number (105745185).

Almost surely, 2^12580304256 is an apocalyptic number.

12580304256 is a gapful number since it is divisible by the number (16) 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 12580304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303075520).

12580304256 is an abundant number, since it is smaller than the sum of its proper divisors (28025846784).

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

12580304256 is a wasteful number, since it uses less digits than its factorization.

12580304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12580304256 in words is "twelve billion, five hundred eighty million, three hundred four thousand, two hundred fifty-six".