560345385600 has 4608 divisors, whose sum is σ = 3014473728000. Its totient is φ = 98537472000.

The previous prime is 560345385563. The next prime is 560345385623. The reversal of 560345385600 is 6583543065.

560345385600 is a `hidden beast` number, since 5 + 6 + 0 + 3 + 4 + 5 + 38 + 5 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18075657585 + ... + 18075657615.

Almost surely, 2^560345385600 is an apocalyptic number.

560345385600 is a gapful number since it is divisible by the number (50) 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 560345385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507236864000).

560345385600 is an abundant number, since it is smaller than the sum of its proper divisors (2454128342400).

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

560345385600 is a wasteful number, since it uses less digits than its factorization.

560345385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 560345385600 in words is "five hundred sixty billion, three hundred forty-five million, three hundred eighty-five thousand, six hundred".