256016775168 has 1344 divisors, whose sum is σ = 1020920060160. Its totient is φ = 62108467200.

The previous prime is 256016775107. The next prime is 256016775173. The reversal of 256016775168 is 861577610652.

It is a happy number.

256016775168 is a `hidden beast` number, since 2 + 5 + 60 + 1 + 67 + 7 + 516 + 8 = 666.

256016775168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×256016775168² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1954326463 + ... + 1954326593.

It is an arithmetic number, because the mean of its divisors is an integer number (759613140).

Almost surely, 2^256016775168 is an apocalyptic number.

256016775168 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 256016775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510460030080).

256016775168 is an abundant number, since it is smaller than the sum of its proper divisors (764903284992).

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

256016775168 is a wasteful number, since it uses less digits than its factorization.

256016775168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 256016775168 in words is "two hundred fifty-six billion, sixteen million, seven hundred seventy-five thousand, one hundred sixty-eight".