85866335755281 has 15 divisors (see below), whose sum is σ = 128269589105163. Its totient is φ = 57244168238400.

The previous prime is 85866335755271. The next prime is 85866335755357. The reversal of 85866335755281 is 18255753366858.

The square root of 85866335755281 is 9266409.

It is a perfect power (a square), and thus also a powerful number.

85866335755281 is a `hidden beast` number, since 8 + 5 + 8 + 6 + 6 + 335 + 7 + 5 + 5 + 281 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2838520713681 + 83027815041600 = 1684791^2 + 9111960^2 .

It is not a de Polignac number, because 85866335755281 - 2¹³ = 85866335747089 is a prime.

It is a super-2 number, since 2×85866335755281² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85866335755241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 82882881 + ... + 83912481.

Almost surely, 2^{85866335755281} is an apocalyptic number.

85866335755281 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85866335755281 is the 9266409-th square number.

85866335755281 is the 4633205-th centered octagonal number.

It is an amenable number.

85866335755281 is a deficient number, since it is larger than the sum of its proper divisors (42403253349882).

85866335755281 is an frugal number, since it uses more digits than its factorization.

85866335755281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059214 (or 1029604 counting only the distinct ones).

The product of its digits is 1451520000, while the sum is 72.

The spelling of 85866335755281 in words is "eighty-five trillion, eight hundred sixty-six billion, three hundred thirty-five million, seven hundred fifty-five thousand, two hundred eighty-one".