12458245824560 has 240 divisors, whose sum is σ = 31165220923200. Its totient is φ = 4630117171200.

The previous prime is 12458245824553. The next prime is 12458245824589. The reversal of 12458245824560 is 6542854285421.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12458245824496 and 12458245824505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814949237 + ... + 814964523.

It is an arithmetic number, because the mean of its divisors is an integer number (129855087180).

Almost surely, 2^{12458245824560} is an apocalyptic number.

12458245824560 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 12458245824560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582610461600).

12458245824560 is an abundant number, since it is smaller than the sum of its proper divisors (18706975098640).

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

12458245824560 is a wasteful number, since it uses less digits than its factorization.

12458245824560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 56.

The spelling of 12458245824560 in words is "twelve trillion, four hundred fifty-eight billion, two hundred forty-five million, eight hundred twenty-four thousand, five hundred sixty".