130728589533504 has 1344 divisors, whose sum is σ = 423624402432000. Its totient is φ = 39490935644160.

The previous prime is 130728589533469. The next prime is 130728589533523. The reversal of 130728589533504 is 405335985827031.

130728589533504 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 2 + 8 + 5 + 8 + 95 + 33 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198374187127 + ... + 198374187785.

It is an arithmetic number, because the mean of its divisors is an integer number (315196728000).

Almost surely, 2^{130728589533504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130728589533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211812201216000).

130728589533504 is an abundant number, since it is smaller than the sum of its proper divisors (292895812898496).

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

130728589533504 is a wasteful number, since it uses less digits than its factorization.

130728589533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 130728589533504 in words is "one hundred thirty trillion, seven hundred twenty-eight billion, five hundred eighty-nine million, five hundred thirty-three thousand, five hundred four".