12984813204480 has 1056 divisors, whose sum is σ = 52959367738368. Its totient is φ = 2911135334400.

The previous prime is 12984813204479. The next prime is 12984813204509. The reversal of 12984813204480 is 8440231848921.

12984813204480 is a `hidden beast` number, since 1 + 2 + 9 + 84 + 81 + 3 + 2 + 0 + 4 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315673515 + ... + 315714645.

Almost surely, 2^{12984813204480} is an apocalyptic number.

12984813204480 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 12984813204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26479683869184).

12984813204480 is an abundant number, since it is smaller than the sum of its proper divisors (39974554533888).

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

12984813204480 is a wasteful number, since it uses less digits than its factorization.

12984813204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41223 (or 41202 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12984813204480 in words is "twelve trillion, nine hundred eighty-four billion, eight hundred thirteen million, two hundred four thousand, four hundred eighty".