12408675928560 has 240 divisors, whose sum is σ = 42185405452320. Its totient is φ = 3268329799680.

The previous prime is 12408675928559. The next prime is 12408675928577. The reversal of 12408675928560 is 6582957680421.

12408675928560 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 8 + 67 + 5 + 9 + 2 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60581520 + ... + 60786000.

It is an arithmetic number, because the mean of its divisors is an integer number (175772522718).

Almost surely, 2^{12408675928560} is an apocalyptic number.

12408675928560 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 12408675928560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092702726160).

12408675928560 is an abundant number, since it is smaller than the sum of its proper divisors (29776729523760).

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

12408675928560 is a wasteful number, since it uses less digits than its factorization.

12408675928560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205536 (or 205527 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 12408675928560 in words is "twelve trillion, four hundred eight billion, six hundred seventy-five million, nine hundred twenty-eight thousand, five hundred sixty".