130075909589808 has 1920 divisors, whose sum is σ = 496552218624000. Its totient is φ = 32261088706560.

The previous prime is 130075909589777. The next prime is 130075909589867. The reversal of 130075909589808 is 808985909570031.

130075909589808 is a `hidden beast` number, since 1 + 30 + 0 + 7 + 5 + 9 + 0 + 9 + 589 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90393265153 + ... + 90393266591.

It is an arithmetic number, because the mean of its divisors is an integer number (258620947200).

Almost surely, 2^{130075909589808} is an apocalyptic number.

130075909589808 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 130075909589808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248276109312000).

130075909589808 is an abundant number, since it is smaller than the sum of its proper divisors (366476309034192).

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

130075909589808 is a wasteful number, since it uses less digits than its factorization.

130075909589808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 130075909589808 in words is "one hundred thirty trillion, seventy-five billion, nine hundred nine million, five hundred eighty-nine thousand, eight hundred eight".