256849966800 has 360 divisors, whose sum is σ = 1051538808320. Its totient is φ = 56814566400.

The previous prime is 256849966663. The next prime is 256849966829. The reversal of 256849966800 is 8669948652.

256849966800 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 499 + 66 + 80 + 0 = 666.

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

It is a super-2 number, since 2×256849966800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 616806 + ... + 945594.

Almost surely, 2^256849966800 is an apocalyptic number.

256849966800 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 256849966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525769404160).

256849966800 is an abundant number, since it is smaller than the sum of its proper divisors (794688841520).

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

256849966800 is a wasteful number, since it uses less digits than its factorization.

256849966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328851 (or 328837 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 256849966800 in words is "two hundred fifty-six billion, eight hundred forty-nine million, nine hundred sixty-six thousand, eight hundred".