563057003450400 has 288 divisors, whose sum is σ = 1835867214853056. Its totient is φ = 149893286400000.

The previous prime is 563057003450321. The next prime is 563057003450477. The reversal of 563057003450400 is 4054300750365.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9281996070 + ... + 9282056730.

It is an arithmetic number, because the mean of its divisors is an integer number (6374538940462).

Almost surely, 2^{563057003450400} is an apocalyptic number.

563057003450400 is a gapful number since it is divisible by the number (50) 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 563057003450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917933607426528).

563057003450400 is an abundant number, since it is smaller than the sum of its proper divisors (1272810211402656).

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

563057003450400 is a wasteful number, since it uses less digits than its factorization.

563057003450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67196 (or 67183 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 563057003450400 in words is "five hundred sixty-three trillion, fifty-seven billion, three million, four hundred fifty thousand, four hundred".