12718978290 has 256 divisors, whose sum is σ = 37054195200. Its totient is φ = 3093479424.

The previous prime is 12718978289. The next prime is 12718978291. The reversal of 12718978290 is 9287981721.

12718978290 is a `hidden beast` number, since 1 + 271 + 89 + 7 + 8 + 290 = 666.

It is an interprime number because it is at equal distance from previous prime (12718978289) and next prime (12718978291).

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

It is not an unprimeable number, because it can be changed into a prime (12718978291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21448234 + ... + 21448826.

It is an arithmetic number, because the mean of its divisors is an integer number (144742950).

Almost surely, 2^12718978290 is an apocalyptic number.

12718978290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12718978290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527097600).

12718978290 is an abundant number, since it is smaller than the sum of its proper divisors (24335216910).

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

12718978290 is a wasteful number, since it uses less digits than its factorization.

12718978290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 12718978290 in words is "twelve billion, seven hundred eighteen million, nine hundred seventy-eight thousand, two hundred ninety".