12068605925280 has 1152 divisors, whose sum is σ = 44854062978816. Its totient is φ = 3061429862400.

The previous prime is 12068605925221. The next prime is 12068605925291. The reversal of 12068605925280 is 8252950686021.

12068605925280 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 8 + 60 + 59 + 2 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17826596302 + ... + 17826596978.

It is an arithmetic number, because the mean of its divisors is an integer number (38935818558).

Almost surely, 2^{12068605925280} is an apocalyptic number.

12068605925280 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 12068605925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22427031489408).

12068605925280 is an abundant number, since it is smaller than the sum of its proper divisors (32785457053536).

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

12068605925280 is a wasteful number, since it uses less digits than its factorization.

12068605925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12068605925280 in words is "twelve trillion, sixty-eight billion, six hundred five million, nine hundred twenty-five thousand, two hundred eighty".