130668609024000 has 2080 divisors, whose sum is σ = 498720712089600. Its totient is φ = 34028273664000.

The previous prime is 130668609023971. The next prime is 130668609024011. The reversal of 130668609024000 is 420906866031.

130668609024000 is a `hidden beast` number, since 1 + 30 + 6 + 6 + 8 + 609 + 0 + 2 + 4 + 0 + 0 + 0 = 666.

130668609024000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 585957887889 + ... + 585957888111.

It is an arithmetic number, because the mean of its divisors is an integer number (239769573120).

Almost surely, 2^{130668609024000} is an apocalyptic number.

130668609024000 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 130668609024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249360356044800).

130668609024000 is an abundant number, since it is smaller than the sum of its proper divisors (368052103065600).

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

130668609024000 is an equidigital number, since it uses as much as digits as its factorization.

130668609024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 130668609024000 in words is "one hundred thirty trillion, six hundred sixty-eight billion, six hundred nine million, twenty-four thousand".