130800434688 has 480 divisors, whose sum is σ = 486416367360. Its totient is φ = 33971097600.

The previous prime is 130800434669. The next prime is 130800434717. The reversal of 130800434688 is 886434008031.

130800434688 is a `hidden beast` number, since 130 + 8 + 0 + 0 + 434 + 6 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11703343 + ... + 11714513.

It is an arithmetic number, because the mean of its divisors is an integer number (1013367432).

Almost surely, 2^130800434688 is an apocalyptic number.

130800434688 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 130800434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243208183680).

130800434688 is an abundant number, since it is smaller than the sum of its proper divisors (355615932672).

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

130800434688 is a wasteful number, since it uses less digits than its factorization.

130800434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 130800434688 in words is "one hundred thirty billion, eight hundred million, four hundred thirty-four thousand, six hundred eighty-eight".