560782379520 has 960 divisors, whose sum is σ = 2305383696000. Its totient is φ = 128755630080.

The previous prime is 560782379491. The next prime is 560782379527. The reversal of 560782379520 is 25973287065.

560782379520 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 82 + 37 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×560782379520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (560782379527) 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 95 ways as a sum of consecutive naturals, for example, 158905116 + ... + 158908644.

It is an arithmetic number, because the mean of its divisors is an integer number (2401441350).

Almost surely, 2^560782379520 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 560782379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152691848000).

560782379520 is an abundant number, since it is smaller than the sum of its proper divisors (1744601316480).

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

560782379520 is a wasteful number, since it uses less digits than its factorization.

560782379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 560782379520 in words is "five hundred sixty billion, seven hundred eighty-two million, three hundred seventy-nine thousand, five hundred twenty".