130582049860080 has 1280 divisors, whose sum is σ = 602808417792000. Its totient is φ = 25201239146496.

The previous prime is 130582049860063. The next prime is 130582049860139. The reversal of 130582049860080 is 80068940285031.

130582049860080 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 8 + 20 + 4 + 9 + 8 + 600 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130582049859999 and 130582049860026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107701714 + ... + 108907406.

It is an arithmetic number, because the mean of its divisors is an integer number (470944076400).

Almost surely, 2^{130582049860080} is an apocalyptic number.

130582049860080 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 130582049860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301404208896000).

130582049860080 is an abundant number, since it is smaller than the sum of its proper divisors (472226367931920).

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

130582049860080 is a wasteful number, since it uses less digits than its factorization.

130582049860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205783 (or 1205771 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 130582049860080 in words is "one hundred thirty trillion, five hundred eighty-two billion, forty-nine million, eight hundred sixty thousand, eighty".