12782499840 has 576 divisors, whose sum is σ = 50226583680. Its totient is φ = 3092152320.

The previous prime is 12782499827. The next prime is 12782499859. The reversal of 12782499840 is 4899428721.

12782499840 is a `hidden beast` number, since 1 + 2 + 78 + 2 + 499 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 27371287 + ... + 27371753.

It is an arithmetic number, because the mean of its divisors is an integer number (87198930).

Almost surely, 2^12782499840 is an apocalyptic number.

12782499840 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 12782499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25113291840).

12782499840 is an abundant number, since it is smaller than the sum of its proper divisors (37444083840).

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

12782499840 is an equidigital number, since it uses as much as digits as its factorization.

12782499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12782499840 in words is "twelve billion, seven hundred eighty-two million, four hundred ninety-nine thousand, eight hundred forty".