12477925584 has 280 divisors, whose sum is σ = 38549366760. Its totient is φ = 3903427584.

The previous prime is 12477925561. The next prime is 12477925597. The reversal of 12477925584 is 48552977421.

12477925584 is a `hidden beast` number, since 1 + 2 + 477 + 92 + 5 + 5 + 84 = 666.

12477925584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6843921984 + 5634003600 = 82728^2 + 75060^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12477925584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12514974 + ... + 12515970.

Almost surely, 2^12477925584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12477925584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19274683380).

12477925584 is an abundant number, since it is smaller than the sum of its proper divisors (26071441176).

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

12477925584 is an equidigital number, since it uses as much as digits as its factorization.

12477925584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1068 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 12477925584 in words is "twelve billion, four hundred seventy-seven million, nine hundred twenty-five thousand, five hundred eighty-four".