560867328000 has 2160 divisors, whose sum is σ = 2545357336704. Its totient is φ = 122624409600.

The previous prime is 560867327989. The next prime is 560867328011. The reversal of 560867328000 is 823768065.

560867328000 is a `hidden beast` number, since 5 + 608 + 6 + 7 + 32 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (560867327989) and next prime (560867328011).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24385535989 + ... + 24385536011.

Almost surely, 2^560867328000 is an apocalyptic number.

560867328000 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 560867328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272678668352).

560867328000 is an abundant number, since it is smaller than the sum of its proper divisors (1984490008704).

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

560867328000 is an frugal number, since it uses more digits than its factorization.

560867328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 560867328000 in words is "five hundred sixty billion, eight hundred sixty-seven million, three hundred twenty-eight thousand".