256115059368 has 128 divisors (see below), whose sum is σ = 737318400000. Its totient is φ = 72621308160.

The previous prime is 256115059363. The next prime is 256115059429. The reversal of 256115059368 is 863950511652.

256115059368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256115059368.

It is not an unprimeable number, because it can be changed into a prime (256115059363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15165153 + ... + 15182031.

It is an arithmetic number, because the mean of its divisors is an integer number (5760300000).

Almost surely, 2^256115059368 is an apocalyptic number.

256115059368 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 256115059368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368659200000).

256115059368 is an abundant number, since it is smaller than the sum of its proper divisors (481203340632).

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

256115059368 is a wasteful number, since it uses less digits than its factorization.

256115059368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17575 (or 17571 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 256115059368 in words is "two hundred fifty-six billion, one hundred fifteen million, fifty-nine thousand, three hundred sixty-eight".