130223808000 has 2560 divisors, whose sum is σ = 617720463360. Its totient is φ = 26542080000.

The previous prime is 130223807977. The next prime is 130223808059. The reversal of 130223808000 is 808322031.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4200767985 + ... + 4200768015.

It is an arithmetic number, because the mean of its divisors is an integer number (241297056).

Almost surely, 2^130223808000 is an apocalyptic number.

130223808000 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 130223808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308860231680).

130223808000 is an abundant number, since it is smaller than the sum of its proper divisors (487496655360).

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

130223808000 is a wasteful number, since it uses less digits than its factorization.

130223808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 130223808000 in words is "one hundred thirty billion, two hundred twenty-three million, eight hundred eight thousand".