256240661529600 has 1584 divisors, whose sum is σ = 1013464964715840. Its totient is φ = 61852876800000.

The previous prime is 256240661529581. The next prime is 256240661529641. The reversal of 256240661529600 is 6925166042652.

256240661529600 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 4 + 0 + 6 + 6 + 1 + 5 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×256240661529600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76972260736 + ... + 76972264064.

Almost surely, 2^{256240661529600} is an apocalyptic number.

256240661529600 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 256240661529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506732482357920).

256240661529600 is an abundant number, since it is smaller than the sum of its proper divisors (757224303186240).

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

256240661529600 is a wasteful number, since it uses less digits than its factorization.

256240661529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 256240661529600 in words is "two hundred fifty-six trillion, two hundred forty billion, six hundred sixty-one million, five hundred twenty-nine thousand, six hundred".