256816573200 has 360 divisors, whose sum is σ = 973542510720. Its totient is φ = 62175513600.

The previous prime is 256816573157. The next prime is 256816573207. The reversal of 256816573200 is 2375618652.

256816573200 is a `hidden beast` number, since 2 + 5 + 68 + 16 + 573 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (256816573207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32824489 + ... + 32832311.

It is an arithmetic number, because the mean of its divisors is an integer number (2704284752).

Almost surely, 2^256816573200 is an apocalyptic number.

256816573200 is a gapful number since it is divisible by the number (20) 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 256816573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486771255360).

256816573200 is an abundant number, since it is smaller than the sum of its proper divisors (716725937520).

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

256816573200 is a wasteful number, since it uses less digits than its factorization.

256816573200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 256816573200 in words is "two hundred fifty-six billion, eight hundred sixteen million, five hundred seventy-three thousand, two hundred".