256059348192 has 288 divisors, whose sum is σ = 750631976640. Its totient is φ = 82771476480.

The previous prime is 256059348187. The next prime is 256059348241. The reversal of 256059348192 is 291843950652.

256059348192 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 593 + 48 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525788973 + ... + 525789459.

It is an arithmetic number, because the mean of its divisors is an integer number (2606361030).

Almost surely, 2^256059348192 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 256059348192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375315988320).

256059348192 is an abundant number, since it is smaller than the sum of its proper divisors (494572628448).

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

256059348192 is a wasteful number, since it uses less digits than its factorization.

256059348192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 256059348192 in words is "two hundred fifty-six billion, fifty-nine million, three hundred forty-eight thousand, one hundred ninety-two".