12758682240 has 384 divisors, whose sum is σ = 48268256400. Its totient is φ = 3091070976.

The previous prime is 12758682239. The next prime is 12758682311. The reversal of 12758682240 is 4228685721.

12758682240 is a `hidden beast` number, since 1 + 2 + 7 + 586 + 8 + 22 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11390865984 + 1367816256 = 106728^2 + 36984^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2837434 + ... + 2841926.

Almost surely, 2^12758682240 is an apocalyptic number.

12758682240 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 12758682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24134128200).

12758682240 is an abundant number, since it is smaller than the sum of its proper divisors (35509574160).

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

12758682240 is a wasteful number, since it uses less digits than its factorization.

12758682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12758682240 in words is "twelve billion, seven hundred fifty-eight million, six hundred eighty-two thousand, two hundred forty".