130363027200 has 648 divisors, whose sum is σ = 551076708000. Its totient is φ = 28767191040.

The previous prime is 130363027187. The next prime is 130363027217. The reversal of 130363027200 is 2720363031.

130363027200 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 630 + 2 + 7 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11687226 + ... + 11698374.

Almost surely, 2^130363027200 is an apocalyptic number.

130363027200 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 130363027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275538354000).

130363027200 is an abundant number, since it is smaller than the sum of its proper divisors (420713680800).

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

130363027200 is a wasteful number, since it uses less digits than its factorization.

130363027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 130363027200 in words is "one hundred thirty billion, three hundred sixty-three million, twenty-seven thousand, two hundred".