12630578688000 has 2808 divisors, whose sum is σ = 57526626368016. Its totient is φ = 2656862208000.

The previous prime is 12630578687939. The next prime is 12630578688041. The reversal of 12630578688000 is 88687503621.

12630578688000 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 0 + 578 + 68 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38158847835 + ... + 38158848165.

It is an arithmetic number, because the mean of its divisors is an integer number (20486690302).

Almost surely, 2^{12630578688000} is an apocalyptic number.

12630578688000 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 12630578688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28763313184008).

12630578688000 is an abundant number, since it is smaller than the sum of its proper divisors (44896047680016).

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

12630578688000 is a wasteful number, since it uses less digits than its factorization.

12630578688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12630578688000 in words is "twelve trillion, six hundred thirty billion, five hundred seventy-eight million, six hundred eighty-eight thousand".