560049416352 has 192 divisors, whose sum is σ = 1705881461760. Its totient is φ = 178421582592.

The previous prime is 560049416347. The next prime is 560049416357. The reversal of 560049416352 is 253614940065.

560049416352 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 4 + 9 + 4 + 1 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (560049416347) and next prime (560049416357).

It is a junction number, because it is equal to n+sod(n) for n = 560049416298 and 560049416307.

It is not an unprimeable number, because it can be changed into a prime (560049416357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25961923 + ... + 25983485.

It is an arithmetic number, because the mean of its divisors is an integer number (8884799280).

Almost surely, 2^560049416352 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 560049416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852940730880).

560049416352 is an abundant number, since it is smaller than the sum of its proper divisors (1145832045408).

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

560049416352 is a wasteful number, since it uses less digits than its factorization.

560049416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22912 (or 22898 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 560049416352 in words is "five hundred sixty billion, forty-nine million, four hundred sixteen thousand, three hundred fifty-two".