12772387584 has 144 divisors (see below), whose sum is σ = 41204096640. Its totient is φ = 3870397440.

The previous prime is 12772387541. The next prime is 12772387591. The reversal of 12772387584 is 48578327721.

12772387584 is a `hidden beast` number, since 1 + 27 + 7 + 2 + 38 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 12772387584.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7962 + ... + 160025.

It is an arithmetic number, because the mean of its divisors is an integer number (286139560).

Almost surely, 2^12772387584 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 12772387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20602048320).

12772387584 is an abundant number, since it is smaller than the sum of its proper divisors (28431709056).

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

12772387584 is a wasteful number, since it uses less digits than its factorization.

12772387584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168023 (or 168003 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 12772387584 in words is "twelve billion, seven hundred seventy-two million, three hundred eighty-seven thousand, five hundred eighty-four".