130582544480640 has 768 divisors, whose sum is σ = 569633101214400. Its totient is φ = 28091703951360.

The previous prime is 130582544480567. The next prime is 130582544480699. The reversal of 130582544480640 is 46084445285031.

130582544480640 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 82 + 5 + 44 + 480 + 6 + 40 = 666.

130582544480640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 9858310 + ... + 18930170.

Almost surely, 2^{130582544480640} is an apocalyptic number.

130582544480640 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 130582544480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284816550607200).

130582544480640 is an abundant number, since it is smaller than the sum of its proper divisors (439050556733760).

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

130582544480640 is a wasteful number, since it uses less digits than its factorization.

130582544480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071920 (or 9071895 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 130582544480640 in words is "one hundred thirty trillion, five hundred eighty-two billion, five hundred forty-four million, four hundred eighty thousand, six hundred forty".