563580518400 has 1215 divisors, whose sum is σ = 2241843201871. Its totient is φ = 135297761280.

The previous prime is 563580518359. The next prime is 563580518401. The reversal of 563580518400 is 4815085365.

The square root of 563580518400 is 750720.

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

563580518400 is a `hidden beast` number, since 5 + 63 + 580 + 5 + 1 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13182713856 + 550397804544 = 114816^2 + 741888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (563580518401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24503500789 + ... + 24503500811.

Almost surely, 2^563580518400 is an apocalyptic number.

563580518400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

563580518400 is the 750720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563580518400

563580518400 is an abundant number, since it is smaller than the sum of its proper divisors (1678262683471).

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

563580518400 is a wasteful number, since it uses less digits than its factorization.

563580518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 563580518400 in words is "five hundred sixty-three billion, five hundred eighty million, five hundred eighteen thousand, four hundred".