12759979490280 has 384 divisors, whose sum is σ = 47921201078400. Its totient is φ = 2910146150400.

The previous prime is 12759979490197. The next prime is 12759979490299. The reversal of 12759979490280 is 8209497995721.

It is a happy number.

12759979490280 is a `hidden beast` number, since 1 + 2 + 7 + 59 + 9 + 7 + 9 + 490 + 2 + 80 = 666.

It is a super-2 number, since 2×12759979490280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12759979490199 and 12759979490208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165501340 + ... + 165578420.

It is an arithmetic number, because the mean of its divisors is an integer number (124794794475).

Almost surely, 2^{12759979490280} is an apocalyptic number.

12759979490280 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 12759979490280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23960600539200).

12759979490280 is an abundant number, since it is smaller than the sum of its proper divisors (35161221588120).

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

12759979490280 is a wasteful number, since it uses less digits than its factorization.

12759979490280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79585 (or 79578 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 12759979490280 in words is "twelve trillion, seven hundred fifty-nine billion, nine hundred seventy-nine million, four hundred ninety thousand, two hundred eighty".