130605628608 has 420 divisors, whose sum is σ = 485020876032. Its totient is φ = 34444569600.

The previous prime is 130605628553. The next prime is 130605628609. The reversal of 130605628608 is 806826506031.

130605628608 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 562 + 86 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130605628609) 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 59 ways as a sum of consecutive naturals, for example, 3282433 + ... + 3321983.

Almost surely, 2^130605628608 is an apocalyptic number.

130605628608 is a gapful number since it is divisible by the number (18) 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 130605628608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242510438016).

130605628608 is an abundant number, since it is smaller than the sum of its proper divisors (354415247424).

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

130605628608 is a wasteful number, since it uses less digits than its factorization.

130605628608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39602 (or 39576 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 130605628608 in words is "one hundred thirty billion, six hundred five million, six hundred twenty-eight thousand, six hundred eight".