563775120 has 160 divisors (see below), whose sum is σ = 1952672640. Its totient is φ = 149506560.

The previous prime is 563775101. The next prime is 563775127. The reversal of 563775120 is 21577365.

563775120 is a `hidden beast` number, since 5 + 637 + 7 + 5 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (563775127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455142 + ... + 456378.

It is an arithmetic number, because the mean of its divisors is an integer number (12204204).

Almost surely, 2^563775120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976336320).

563775120 is an abundant number, since it is smaller than the sum of its proper divisors (1388897520).

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

563775120 is a wasteful number, since it uses less digits than its factorization.

563775120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 563775120 is about 23743.9491239347. The cubic root of 563775120 is about 826.1050975598.

The spelling of 563775120 in words is "five hundred sixty-three million, seven hundred seventy-five thousand, one hundred twenty".