256516666560 has 1792 divisors, whose sum is σ = 1228883374080. Its totient is φ = 48731258880.

The previous prime is 256516666559. The next prime is 256516666561. The reversal of 256516666560 is 65666615652.

It is an interprime number because it is at equal distance from previous prime (256516666559) and next prime (256516666561).

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

It is a junction number, because it is equal to n+sod(n) for n = 256516666497 and 256516666506.

It is not an unprimeable number, because it can be changed into a prime (256516666561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 418460814 + ... + 418461426.

Almost surely, 2^256516666560 is an apocalyptic number.

256516666560 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 256516666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614441687040).

256516666560 is an abundant number, since it is smaller than the sum of its proper divisors (972366707520).

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

256516666560 is a wasteful number, since it uses less digits than its factorization.

256516666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 256516666560 in words is "two hundred fifty-six billion, five hundred sixteen million, six hundred sixty-six thousand, five hundred sixty".