560516785920 has 3024 divisors, whose sum is σ = 2695601788992. Its totient is φ = 110361968640.

The previous prime is 560516785883. The next prime is 560516785967. The reversal of 560516785920 is 29587615065.

560516785920 is a `hidden beast` number, since 5 + 6 + 0 + 516 + 78 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×560516785920² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13671141100 + ... + 13671141140.

It is an arithmetic number, because the mean of its divisors is an integer number (891402708).

Almost surely, 2^560516785920 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 560516785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347800894496).

560516785920 is an abundant number, since it is smaller than the sum of its proper divisors (2135085003072).

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

560516785920 is a wasteful number, since it uses less digits than its factorization.

560516785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 560516785920 in words is "five hundred sixty billion, five hundred sixteen million, seven hundred eighty-five thousand, nine hundred twenty".