256658056704 has 400 divisors, whose sum is σ = 878467155456. Its totient is φ = 73081958400.

The previous prime is 256658056667. The next prime is 256658056709. The reversal of 256658056704 is 407650856652.

256658056704 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 580 + 56 + 7 + 0 + 4 = 666.

256658056704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256658056709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96089289 + ... + 96091959.

Almost surely, 2^256658056704 is an apocalyptic number.

256658056704 is a gapful number since it is divisible by the number (24) 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 256658056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439233577728).

256658056704 is an abundant number, since it is smaller than the sum of its proper divisors (621809098752).

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

256658056704 is an equidigital number, since it uses as much as digits as its factorization.

256658056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 256658056704 in words is "two hundred fifty-six billion, six hundred fifty-eight million, fifty-six thousand, seven hundred four".