560967384384000 has 1600 divisors, whose sum is σ = 2281714276368384. Its totient is φ = 135862272000000.

The previous prime is 560967384383971. The next prime is 560967384384047. The reversal of 560967384384000 is 483483769065.

560967384384000 is a `hidden beast` number, since 5 + 6 + 0 + 96 + 73 + 8 + 438 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68485819905 + ... + 68485828095.

Almost surely, 2^{560967384384000} is an apocalyptic number.

560967384384000 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 560967384384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140857138184192).

560967384384000 is an abundant number, since it is smaller than the sum of its proper divisors (1720746891984384).

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

560967384384000 is a wasteful number, since it uses less digits than its factorization.

560967384384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 560967384384000 in words is "five hundred sixty trillion, nine hundred sixty-seven billion, three hundred eighty-four million, three hundred eighty-four thousand".