130516608388320 has 576 divisors, whose sum is σ = 555392061020160. Its totient is φ = 27115293081600.

The previous prime is 130516608388303. The next prime is 130516608388321. The reversal of 130516608388320 is 23883806615031.

130516608388320 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 1 + 6 + 608 + 3 + 8 + 8 + 3 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130516608388321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611840080 + ... + 612053360.

It is an arithmetic number, because the mean of its divisors is an integer number (964222328160).

Almost surely, 2^{130516608388320} is an apocalyptic number.

130516608388320 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 130516608388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277696030510080).

130516608388320 is an abundant number, since it is smaller than the sum of its proper divisors (424875452631840).

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

130516608388320 is a wasteful number, since it uses less digits than its factorization.

130516608388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218839 (or 218828 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 130516608388320 in words is "one hundred thirty trillion, five hundred sixteen billion, six hundred eight million, three hundred eighty-eight thousand, three hundred twenty".