12558945672 has 576 divisors, whose sum is σ = 45019054080. Its totient is φ = 3209746176.

The previous prime is 12558945643. The next prime is 12558945673. The reversal of 12558945672 is 27654985521.

12558945672 is a `hidden beast` number, since 1 + 2 + 5 + 589 + 4 + 56 + 7 + 2 = 666.

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

Its product of digits (6048000) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (12558945673) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98889273 + ... + 98889399.

It is an arithmetic number, because the mean of its divisors is an integer number (78158080).

Almost surely, 2^12558945672 is an apocalyptic number.

12558945672 is a gapful number since it is divisible by the number (12) 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 12558945672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22509527040).

12558945672 is an abundant number, since it is smaller than the sum of its proper divisors (32460108408).

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

12558945672 is a wasteful number, since it uses less digits than its factorization.

12558945672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 12558945672 in words is "twelve billion, five hundred fifty-eight million, nine hundred forty-five thousand, six hundred seventy-two".