130079620800 has 1008 divisors, whose sum is σ = 515432795904. Its totient is φ = 30965760000.

The previous prime is 130079620793. The next prime is 130079620807. The reversal of 130079620800 is 8026970031.

It is an interprime number because it is at equal distance from previous prime (130079620793) and next prime (130079620807).

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

It is not an unprimeable number, because it can be changed into a prime (130079620807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 462916660 + ... + 462916940.

Almost surely, 2^130079620800 is an apocalyptic number.

130079620800 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 130079620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257716397952).

130079620800 is an abundant number, since it is smaller than the sum of its proper divisors (385353175104).

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

130079620800 is a wasteful number, since it uses less digits than its factorization.

130079620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 130079620800 in words is "one hundred thirty billion, seventy-nine million, six hundred twenty thousand, eight hundred".