256810596480 has 192 divisors, whose sum is σ = 896764915800. Its totient is φ = 67713220608.

The previous prime is 256810596463. The next prime is 256810596481. The reversal of 256810596480 is 84695018652.

256810596480 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 1 + 0 + 596 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211298347584 + 45512248896 = 459672^2 + 213336^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (256810596481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262162 + ... + 763118.

Almost surely, 2^256810596480 is an apocalyptic number.

256810596480 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 256810596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448382457900).

256810596480 is an abundant number, since it is smaller than the sum of its proper divisors (639954319320).

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

256810596480 is a wasteful number, since it uses less digits than its factorization.

256810596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501071 (or 501056 counting only the distinct ones).

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

The spelling of 256810596480 in words is "two hundred fifty-six billion, eight hundred ten million, five hundred ninety-six thousand, four hundred eighty".