130470664800 has 864 divisors, whose sum is σ = 520493686272. Its totient is φ = 27752693760.

The previous prime is 130470664783. The next prime is 130470664829. The reversal of 130470664800 is 8466074031.

It is a congruent number.

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, 1345058352 + ... + 1345058448.

It is an arithmetic number, because the mean of its divisors is an integer number (602423248).

Almost surely, 2^130470664800 is an apocalyptic number.

130470664800 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 130470664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260246843136).

130470664800 is an abundant number, since it is smaller than the sum of its proper divisors (390023021472).

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

130470664800 is a wasteful number, since it uses less digits than its factorization.

130470664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 130470664800 in words is "one hundred thirty billion, four hundred seventy million, six hundred sixty-four thousand, eight hundred".