563390553600 has 2880 divisors, whose sum is σ = 2707123161600. Its totient is φ = 113706270720.

The previous prime is 563390553599. The next prime is 563390553631. The reversal of 563390553600 is 6355093365.

563390553600 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 90 + 553 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5469811149 + ... + 5469811251.

It is an arithmetic number, because the mean of its divisors is an integer number (939973320).

Almost surely, 2^563390553600 is an apocalyptic number.

563390553600 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 563390553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353561580800).

563390553600 is an abundant number, since it is smaller than the sum of its proper divisors (2143732608000).

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

563390553600 is a wasteful number, since it uses less digits than its factorization.

563390553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 45.

The spelling of 563390553600 in words is "five hundred sixty-three billion, three hundred ninety million, five hundred fifty-three thousand, six hundred".