256050545233392 has 960 divisors, whose sum is σ = 948550328893440. Its totient is φ = 62586212198400.

The previous prime is 256050545233387. The next prime is 256050545233393. The reversal of 256050545233392 is 293332545050652.

256050545233392 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 5 + 0 + 545 + 2 + 3 + 3 + 3 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256050545233393) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 39447007267 + ... + 39447013757.

It is an arithmetic number, because the mean of its divisors is an integer number (988073259264).

Almost surely, 2^{256050545233392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256050545233392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474275164446720).

256050545233392 is an abundant number, since it is smaller than the sum of its proper divisors (692499783660048).

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

256050545233392 is a wasteful number, since it uses less digits than its factorization.

256050545233392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 256050545233392 in words is "two hundred fifty-six trillion, fifty billion, five hundred forty-five million, two hundred thirty-three thousand, three hundred ninety-two".