130468216320 has 1440 divisors, whose sum is σ = 544607455392. Its totient is φ = 29812064256.

The previous prime is 130468216189. The next prime is 130468216321. The reversal of 130468216320 is 23612864031.

130468216320 is a `hidden beast` number, since 1 + 30 + 468 + 2 + 163 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130468216321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1787235804 + ... + 1787235876.

Almost surely, 2^130468216320 is an apocalyptic number.

130468216320 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 130468216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272303727696).

130468216320 is an abundant number, since it is smaller than the sum of its proper divisors (414139239072).

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

130468216320 is an equidigital number, since it uses as much as digits as its factorization.

130468216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 130468216320 in words is "one hundred thirty billion, four hundred sixty-eight million, two hundred sixteen thousand, three hundred twenty".