256724566702071 has 64 divisors (see below), whose sum is σ = 390148893388800. Its totient is φ = 148854253906944.

The previous prime is 256724566702039. The next prime is 256724566702117. The reversal of 256724566702071 is 170207665427652.

It is not a de Polignac number, because 256724566702071 - 2⁵ = 256724566702039 is a prime.

It is a super-2 number, since 2×256724566702071² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256724566701996 and 256724566702014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256724566703071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148138045 + ... + 149861033.

It is an arithmetic number, because the mean of its divisors is an integer number (6096076459200).

Almost surely, 2^{256724566702071} is an apocalyptic number.

256724566702071 is a deficient number, since it is larger than the sum of its proper divisors (133424326686729).

256724566702071 is a wasteful number, since it uses less digits than its factorization.

256724566702071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724120.

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 256724566702071 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, five hundred sixty-six million, seven hundred two thousand, seventy-one".