130798309200 has 480 divisors, whose sum is σ = 460010557440. Its totient is φ = 31575398400.

The previous prime is 130798309189. The next prime is 130798309217. The reversal of 130798309200 is 2903897031.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 260036149 + ... + 260036651.

It is an arithmetic number, because the mean of its divisors is an integer number (958355328).

Almost surely, 2^130798309200 is an apocalyptic number.

130798309200 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 130798309200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230005278720).

130798309200 is an abundant number, since it is smaller than the sum of its proper divisors (329212248240).

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

130798309200 is a wasteful number, since it uses less digits than its factorization.

130798309200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 130798309200 in words is "one hundred thirty billion, seven hundred ninety-eight million, three hundred nine thousand, two hundred".