130680480000 has 1440 divisors, whose sum is σ = 551703398400. Its totient is φ = 26763264000.

The previous prime is 130680479999. The next prime is 130680480013. The reversal of 130680480000 is 84086031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 130680480000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8900 × 8740 × 1680.

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, 1468319956 + ... + 1468320044.

It is an arithmetic number, because the mean of its divisors is an integer number (383127360).

Almost surely, 2^130680480000 is an apocalyptic number.

130680480000 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 130680480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275851699200).

130680480000 is an abundant number, since it is smaller than the sum of its proper divisors (421022918400).

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

130680480000 is an equidigital number, since it uses as much as digits as its factorization.

130680480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 130680480000 in words is "one hundred thirty billion, six hundred eighty million, four hundred eighty thousand".