12781360008 has 320 divisors, whose sum is σ = 38776676400. Its totient is φ = 3924910080.

The previous prime is 12781359961. The next prime is 12781360051. The reversal of 12781360008 is 80006318721.

It can be written as a sum of positive squares in 8 ways, for example, as 957407364 + 11823952644 = 30942^2 + 108738^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40834860 + ... + 40835172.

Almost surely, 2^12781360008 is an apocalyptic number.

12781360008 is a gapful number since it is divisible by the number (18) 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 12781360008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388338200).

12781360008 is an abundant number, since it is smaller than the sum of its proper divisors (25995316392).

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

12781360008 is a wasteful number, since it uses less digits than its factorization.

12781360008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 12781360008 its reverse (80006318721), we get a palindrome (92787678729).

The spelling of 12781360008 in words is "twelve billion, seven hundred eighty-one million, three hundred sixty thousand, eight".