130204108800 has 576 divisors, whose sum is σ = 483690916800. Its totient is φ = 34327756800.

The previous prime is 130204108763. The next prime is 130204108819. The reversal of 130204108800 is 8801402031.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134092315 + ... + 134093285.

It is an arithmetic number, because the mean of its divisors is an integer number (839741175).

Almost surely, 2^130204108800 is an apocalyptic number.

130204108800 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 130204108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241845458400).

130204108800 is an abundant number, since it is smaller than the sum of its proper divisors (353486808000).

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

130204108800 is an equidigital number, since it uses as much as digits as its factorization.

130204108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 130204108800 in words is "one hundred thirty billion, two hundred four million, one hundred eight thousand, eight hundred".