256790426256 has 600 divisors, whose sum is σ = 944050269624. Its totient is φ = 66781532160.

The previous prime is 256790426251. The next prime is 256790426287. The reversal of 256790426256 is 652624097652.

256790426256 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 9 + 0 + 4 + 2 + 625 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66069561600 + 190720864656 = 257040^2 + 436716^2 .

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

It is not an unprimeable number, because it can be changed into a prime (256790426251) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60263166 + ... + 60267426.

Almost surely, 2^256790426256 is an apocalyptic number.

256790426256 is a gapful number since it is divisible by the number (26) 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 256790426256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472025134812).

256790426256 is an abundant number, since it is smaller than the sum of its proper divisors (687259843368).

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

256790426256 is a wasteful number, since it uses less digits than its factorization.

256790426256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 256790426256 in words is "two hundred fifty-six billion, seven hundred ninety million, four hundred twenty-six thousand, two hundred fifty-six".