12830603304960 has 2688 divisors, whose sum is σ = 56529056563200. Its totient is φ = 2680198004736.

The previous prime is 12830603304947. The next prime is 12830603304971. The reversal of 12830603304960 is 6940330603821.

12830603304960 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 603 + 30 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

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 191 ways as a sum of consecutive naturals, for example, 101028372417 + ... + 101028372543.

Almost surely, 2^{12830603304960} is an apocalyptic number.

12830603304960 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 12830603304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28264528281600).

12830603304960 is an abundant number, since it is smaller than the sum of its proper divisors (43698453258240).

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

12830603304960 is a wasteful number, since it uses less digits than its factorization.

12830603304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 12830603304960 in words is "twelve trillion, eight hundred thirty billion, six hundred three million, three hundred four thousand, nine hundred sixty".