130199053830400 has 729 divisors, whose sum is σ = 344133989876313. Its totient is φ = 48767478681600.

The previous prime is 130199053830283. The next prime is 130199053830421. The reversal of 130199053830400 is 4038350991031.

The square root of 130199053830400 is 11410480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46871659378944 + 83327394451456 = 6846288^2 + 9128384^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1216813587147 + ... + 1216813587253.

Almost surely, 2^{130199053830400} is an apocalyptic number.

130199053830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130199053830400 is the 11410480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130199053830400

130199053830400 is an abundant number, since it is smaller than the sum of its proper divisors (213934936045913).

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

130199053830400 is an frugal number, since it uses more digits than its factorization.

130199053830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 130199053830400 in words is "one hundred thirty trillion, one hundred ninety-nine billion, fifty-three million, eight hundred thirty thousand, four hundred".