130160284800 has 1152 divisors, whose sum is σ = 541242322560. Its totient is φ = 26913669120.

The previous prime is 130160284789. The next prime is 130160284823. The reversal of 130160284800 is 8482061031.

It is a super-2 number, since 2×130160284800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 829046322 + ... + 829046478.

It is an arithmetic number, because the mean of its divisors is an integer number (469828405).

Almost surely, 2^130160284800 is an apocalyptic number.

130160284800 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 130160284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270621161280).

130160284800 is an abundant number, since it is smaller than the sum of its proper divisors (411082037760).

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

130160284800 is a wasteful number, since it uses less digits than its factorization.

130160284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 130160284800 in words is "one hundred thirty billion, one hundred sixty million, two hundred eighty-four thousand, eight hundred".