130497366679680 has 2048 divisors, whose sum is σ = 596786177433600. Its totient is φ = 23341317488640.

The previous prime is 130497366679661. The next prime is 130497366679699. The reversal of 130497366679680 is 86976663794031.

It is an interprime number because it is at equal distance from previous prime (130497366679661) and next prime (130497366679699).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3561299439 + ... + 3561336081.

It is an arithmetic number, because the mean of its divisors is an integer number (291399500700).

Almost surely, 2^{130497366679680} is an apocalyptic number.

130497366679680 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 130497366679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298393088716800).

130497366679680 is an abundant number, since it is smaller than the sum of its proper divisors (466288810753920).

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

130497366679680 is a wasteful number, since it uses less digits than its factorization.

130497366679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36822 (or 36810 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 75.

The spelling of 130497366679680 in words is "one hundred thirty trillion, four hundred ninety-seven billion, three hundred sixty-six million, six hundred seventy-nine thousand, six hundred eighty".