12457579806720 has 2304 divisors, whose sum is σ = 50619376604160. Its totient is φ = 2823605452800.

The previous prime is 12457579806583. The next prime is 12457579806731. The reversal of 12457579806720 is 2760897575421.

12457579806720 is a `hidden beast` number, since 1 + 2 + 4 + 57 + 579 + 8 + 0 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303843409900 + ... + 303843409940.

It is an arithmetic number, because the mean of its divisors is an integer number (21970215540).

Almost surely, 2^{12457579806720} is an apocalyptic number.

12457579806720 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 12457579806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309688302080).

12457579806720 is an abundant number, since it is smaller than the sum of its proper divisors (38161796797440).

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

12457579806720 is a wasteful number, since it uses less digits than its factorization.

12457579806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 12457579806720 in words is "twelve trillion, four hundred fifty-seven billion, five hundred seventy-nine million, eight hundred six thousand, seven hundred twenty".