12758383872 has 720 divisors, whose sum is σ = 44874466560. Its totient is φ = 3571236864.

The previous prime is 12758383789. The next prime is 12758383879. The reversal of 12758383872 is 27838385721.

12758383872 is a `hidden beast` number, since 1 + 27 + 583 + 8 + 38 + 7 + 2 = 666.

12758383872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (4515840) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12758383879) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 240724198 + ... + 240724250.

It is an arithmetic number, because the mean of its divisors is an integer number (62325648).

Almost surely, 2^12758383872 is an apocalyptic number.

12758383872 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 12758383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22437233280).

12758383872 is an abundant number, since it is smaller than the sum of its proper divisors (32116082688).

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

12758383872 is a wasteful number, since it uses less digits than its factorization.

12758383872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 12758383872 in words is "twelve billion, seven hundred fifty-eight million, three hundred eighty-three thousand, eight hundred seventy-two".