12448572684800 has 960 divisors, whose sum is σ = 37816428165120. Its totient is φ = 3970695168000.

The previous prime is 12448572684797. The next prime is 12448572684841. The reversal of 12448572684800 is 848627584421.

It is a self number, because there is not a number n which added to its sum of digits gives 12448572684800.

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, 9146636120 + ... + 9146637480.

It is an arithmetic number, because the mean of its divisors is an integer number (39392112672).

Almost surely, 2^{12448572684800} is an apocalyptic number.

12448572684800 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 12448572684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18908214082560).

12448572684800 is an abundant number, since it is smaller than the sum of its proper divisors (25367855480320).

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

12448572684800 is a wasteful number, since it uses less digits than its factorization.

12448572684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 59.

The spelling of 12448572684800 in words is "twelve trillion, four hundred forty-eight billion, five hundred seventy-two million, six hundred eighty-four thousand, eight hundred".