256812052896000 has 2592 divisors, whose sum is σ = 1099738563906528. Its totient is φ = 57356019302400.

The previous prime is 256812052895969. The next prime is 256812052896001. The reversal of 256812052896000 is 698250218652.

256812052896000 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 1 + 2 + 0 + 5 + 28 + 9 + 600 + 0 = 666.

256812052896000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 244277394149376 + 12534658746624 = 15629376^2 + 3540432^2 .

It is not an unprimeable number, because it can be changed into a prime (256812052896001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 234103967452 + ... + 234103968548.

It is an arithmetic number, because the mean of its divisors is an integer number (424281853359).

Almost surely, 2^{256812052896000} is an apocalyptic number.

256812052896000 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 256812052896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549869281953264).

256812052896000 is an abundant number, since it is smaller than the sum of its proper divisors (842926511010528).

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

256812052896000 is a wasteful number, since it uses less digits than its factorization.

256812052896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 256812052896000 in words is "two hundred fifty-six trillion, eight hundred twelve billion, fifty-two million, eight hundred ninety-six thousand".