256105710675 has 72 divisors (see below), whose sum is σ = 464027644080. Its totient is φ = 135015628800.

The previous prime is 256105710671. The next prime is 256105710683. The reversal of 256105710675 is 576017501652.

256105710675 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 0 + 571 + 0 + 6 + 75 = 666.

It is not a de Polignac number, because 256105710675 - 2² = 256105710671 is a prime.

It is a super-3 number, since 3×256105710675³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 256105710675.

It is not an unprimeable number, because it can be changed into a prime (256105710671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7558171 + ... + 7591979.

It is an arithmetic number, because the mean of its divisors is an integer number (6444828390).

Almost surely, 2^256105710675 is an apocalyptic number.

256105710675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256105710675 is a deficient number, since it is larger than the sum of its proper divisors (207921933405).

256105710675 is a wasteful number, since it uses less digits than its factorization.

256105710675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34213 (or 34205 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 256105710675 in words is "two hundred fifty-six billion, one hundred five million, seven hundred ten thousand, six hundred seventy-five".