12576377240 has 96 divisors (see below), whose sum is σ = 33046146720. Its totient is φ = 4294950912.

The previous prime is 12576377221. The next prime is 12576377257. The reversal of 12576377240 is 4277367521.

12576377240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12576377191 and 12576377200.

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 23 ways as a sum of consecutive naturals, for example, 491237 + ... + 516203.

It is an arithmetic number, because the mean of its divisors is an integer number (344230695).

Almost surely, 2^12576377240 is an apocalyptic number.

12576377240 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 12576377240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523073360).

12576377240 is an abundant number, since it is smaller than the sum of its proper divisors (20469769480).

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

12576377240 is a wasteful number, since it uses less digits than its factorization.

12576377240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25249 (or 25238 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 44.

The spelling of 12576377240 in words is "twelve billion, five hundred seventy-six million, three hundred seventy-seven thousand, two hundred forty".