256724102167075 has 48 divisors (see below), whose sum is σ = 339367684792320. Its totient is φ = 192201167790720.

The previous prime is 256724102167003. The next prime is 256724102167097. The reversal of 256724102167075 is 570761201427652.

It is not a de Polignac number, because 256724102167075 - 2⁹ = 256724102166563 is a prime.

It is a super-2 number, since 2×256724102167075² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73890766 + ... + 77287084.

It is an arithmetic number, because the mean of its divisors is an integer number (7070160099840).

Almost surely, 2^{256724102167075} is an apocalyptic number.

256724102167075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256724102167075 is a deficient number, since it is larger than the sum of its proper divisors (82643582625245).

256724102167075 is a wasteful number, since it uses less digits than its factorization.

256724102167075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399196 (or 3399191 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 55.

The spelling of 256724102167075 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, one hundred two million, one hundred sixty-seven thousand, seventy-five".