560212560 has 240 divisors, whose sum is σ = 2047543056. Its totient is φ = 136691712.

The previous prime is 560212553. The next prime is 560212607. The reversal of 560212560 is 65212065.

560212560 is a `hidden beast` number, since 5 + 602 + 1 + 2 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 100881936 + 459330624 = 10044^2 + 21432^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×560212560² = 627676224763507200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452262 + ... + 453498.

Almost surely, 2^560212560 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 560212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023771528).

560212560 is an abundant number, since it is smaller than the sum of its proper divisors (1487330496).

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

560212560 is a wasteful number, since it uses less digits than its factorization.

560212560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 560212560 is about 23668.8098560109. The cubic root of 560212560 is about 824.3613349128.

The spelling of 560212560 in words is "five hundred sixty million, two hundred twelve thousand, five hundred sixty".