256581841598208 has 216 divisors, whose sum is σ = 876786613492608. Its totient is φ = 73309097475072.

The previous prime is 256581841598183. The next prime is 256581841598227. The reversal of 256581841598208 is 802895148185652.

256581841598208 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 8 + 1 + 8 + 4 + 1 + 598 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×256581841598208² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294177366 + ... + 295048277.

It is an arithmetic number, because the mean of its divisors is an integer number (4059197284688).

Almost surely, 2^{256581841598208} is an apocalyptic number.

256581841598208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256581841598208 is an abundant number, since it is smaller than the sum of its proper divisors (620204771894400).

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

256581841598208 is an frugal number, since it uses more digits than its factorization.

256581841598208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589225681 (or 589225655 counting only the distinct ones).

The product of its (nonzero) digits is 442368000, while the sum is 72.

The spelling of 256581841598208 in words is "two hundred fifty-six trillion, five hundred eighty-one billion, eight hundred forty-one million, five hundred ninety-eight thousand, two hundred eight".