560858134217472 has 1728 divisors, whose sum is σ = 2081971520778240. Its totient is φ = 146635606720512.

The previous prime is 560858134217419. The next prime is 560858134217569. The reversal of 560858134217472 is 274712431858065.

560858134217472 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 5 + 8 + 134 + 21 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347711179738 + ... + 347711181350.

It is an arithmetic number, because the mean of its divisors is an integer number (1204844630080).

Almost surely, 2^{560858134217472} is an apocalyptic number.

560858134217472 is a gapful number since it is divisible by the number (52) 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 560858134217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040985760389120).

560858134217472 is an abundant number, since it is smaller than the sum of its proper divisors (1521113386560768).

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

560858134217472 is a wasteful number, since it uses less digits than its factorization.

560858134217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 560858134217472 in words is "five hundred sixty trillion, eight hundred fifty-eight billion, one hundred thirty-four million, two hundred seventeen thousand, four hundred seventy-two".