560288171520 has 1680 divisors, whose sum is σ = 2560574090448. Its totient is φ = 116214497280.

The previous prime is 560288171501. The next prime is 560288171557. The reversal of 560288171520 is 25171882065.

560288171520 is a `hidden beast` number, since 5 + 602 + 8 + 8 + 1 + 7 + 15 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×560288171520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1005903082 + ... + 1005903638.

Almost surely, 2^560288171520 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 560288171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280287045224).

560288171520 is an abundant number, since it is smaller than the sum of its proper divisors (2000285918928).

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

560288171520 is an equidigital number, since it uses as much as digits as its factorization.

560288171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 560288171520 in words is "five hundred sixty billion, two hundred eighty-eight million, one hundred seventy-one thousand, five hundred twenty".