560890408752 has 480 divisors, whose sum is σ = 1782965882880. Its totient is φ = 163731456000.

The previous prime is 560890408717. The next prime is 560890408829. The reversal of 560890408752 is 257804098065.

560890408752 is a `hidden beast` number, since 560 + 8 + 9 + 0 + 4 + 0 + 8 + 75 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220908699 + ... + 220911237.

It is an arithmetic number, because the mean of its divisors is an integer number (3714512256).

Almost surely, 2^560890408752 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 560890408752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891482941440).

560890408752 is an abundant number, since it is smaller than the sum of its proper divisors (1222075474128).

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

560890408752 is a wasteful number, since it uses less digits than its factorization.

560890408752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2704 counting only the distinct ones).

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

The spelling of 560890408752 in words is "five hundred sixty billion, eight hundred ninety million, four hundred eight thousand, seven hundred fifty-two".