12578184528000 has 2048 divisors, whose sum is σ = 55773978624000. Its totient is φ = 2432581632000.

The previous prime is 12578184527929. The next prime is 12578184528017. The reversal of 12578184528000 is 82548187521.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2572749556 + ... + 2572754444.

It is an arithmetic number, because the mean of its divisors is an integer number (27233388000).

Almost surely, 2^{12578184528000} is an apocalyptic number.

12578184528000 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 12578184528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27886989312000).

12578184528000 is an abundant number, since it is smaller than the sum of its proper divisors (43195794096000).

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

12578184528000 is a wasteful number, since it uses less digits than its factorization.

12578184528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 51.

The spelling of 12578184528000 in words is "twelve trillion, five hundred seventy-eight billion, one hundred eighty-four million, five hundred twenty-eight thousand".