12782298240 has 288 divisors, whose sum is σ = 45392043060. Its totient is φ = 3314442240.

The previous prime is 12782298227. The next prime is 12782298289. The reversal of 12782298240 is 4289228721.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11940369984 + 841928256 = 109272^2 + 29016^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7884630 + ... + 7886250.

Almost surely, 2^12782298240 is an apocalyptic number.

12782298240 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 12782298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696021530).

12782298240 is an abundant number, since it is smaller than the sum of its proper divisors (32609744820).

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

12782298240 is a wasteful number, since it uses less digits than its factorization.

12782298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12782298240 in words is "twelve billion, seven hundred eighty-two million, two hundred ninety-eight thousand, two hundred forty".