256111607808 has 1088 divisors, whose sum is σ = 966360268800. Its totient is φ = 65399685120.

The previous prime is 256111607789. The next prime is 256111607809. The reversal of 256111607808 is 808706111652.

256111607808 is a `hidden beast` number, since 2 + 561 + 1 + 1 + 6 + 0 + 7 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256111607809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8261664753 + ... + 8261664783.

Almost surely, 2^256111607808 is an apocalyptic number.

256111607808 is a gapful number since it is divisible by the number (28) 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 256111607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483180134400).

256111607808 is an abundant number, since it is smaller than the sum of its proper divisors (710248660992).

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

256111607808 is an equidigital number, since it uses as much as digits as its factorization.

256111607808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 256111607808 in words is "two hundred fifty-six billion, one hundred eleven million, six hundred seven thousand, eight hundred eight".