12508483276800 has 1248 divisors, whose sum is σ = 53261493903360. Its totient is φ = 2818503475200.

The previous prime is 12508483276799. The next prime is 12508483276829. The reversal of 12508483276800 is 867238480521.

12508483276800 is a `hidden beast` number, since 1 + 2 + 508 + 48 + 32 + 7 + 68 + 0 + 0 = 666.

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

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, 1374101049 + ... + 1374110151.

Almost surely, 2^{12508483276800} is an apocalyptic number.

12508483276800 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 12508483276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26630746951680).

12508483276800 is an abundant number, since it is smaller than the sum of its proper divisors (40753010626560).

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

12508483276800 is an equidigital number, since it uses as much as digits as its factorization.

12508483276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12508483276800 in words is "twelve trillion, five hundred eight billion, four hundred eighty-three million, two hundred seventy-six thousand, eight hundred".