56305813838400 has 567 divisors, whose sum is σ = 232823551844091. Its totient is φ = 12868459591680.

The previous prime is 56305813838383. The next prime is 56305813838413. The reversal of 56305813838400 is 483831850365.

The square root of 56305813838400 is 7503720.

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

56305813838400 is a `hidden beast` number, since 56 + 3 + 0 + 58 + 138 + 3 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8434470574656 + 47871343263744 = 2904216^2 + 6918912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6303120334 + ... + 6303129266.

Almost surely, 2^{56305813838400} is an apocalyptic number.

56305813838400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56305813838400 is the 7503720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56305813838400

56305813838400 is an abundant number, since it is smaller than the sum of its proper divisors (176517738005691).

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

56305813838400 is an frugal number, since it uses more digits than its factorization.

56305813838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17908 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 56305813838400 in words is "fifty-six trillion, three hundred five billion, eight hundred thirteen million, eight hundred thirty-eight thousand, four hundred".