560513783808 has 288 divisors, whose sum is σ = 1813791404880. Its totient is φ = 165259837440.

The previous prime is 560513783807. The next prime is 560513783899. The reversal of 560513783808 is 808387315065.

560513783808 is a `hidden beast` number, since 56 + 0 + 513 + 78 + 3 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×560513783808² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560513783807) 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 23 ways as a sum of consecutive naturals, for example, 7464466 + ... + 7539182.

Almost surely, 2^560513783808 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 560513783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906895702440).

560513783808 is an abundant number, since it is smaller than the sum of its proper divisors (1253277621072).

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

560513783808 is a wasteful number, since it uses less digits than its factorization.

560513783808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74793 (or 74770 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 560513783808 in words is "five hundred sixty billion, five hundred thirteen million, seven hundred eighty-three thousand, eight hundred eight".