85759842156921 has 27 divisors (see below), whose sum is σ = 128001493846863. Its totient is φ = 55328374784160.

The previous prime is 85759842156889. The next prime is 85759842156953. The reversal of 85759842156921 is 12965124895758.

The square root of 85759842156921 is 9260661.

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

85759842156921 is a `hidden beast` number, since 8 + 5 + 7 + 59 + 8 + 4 + 2 + 1 + 569 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (85759842156889) and next prime (85759842156953).

It can be written as a sum of positive squares in only one way, i.e., 72229686428025 + 13530155728896 = 8498805^2 + 3678336^2 .

It is not a de Polignac number, because 85759842156921 - 2⁵ = 85759842156889 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85759842156921.

It is not an unprimeable number, because it can be changed into a prime (85759842152921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 861191685 + ... + 861291261.

Almost surely, 2^{85759842156921} is an apocalyptic number.

85759842156921 is the 9260661-st square number.

85759842156921 is the 4630331-st centered octagonal number.

It is an amenable number.

85759842156921 is a deficient number, since it is larger than the sum of its proper divisors (42241651689942).

85759842156921 is an frugal number, since it uses more digits than its factorization.

85759842156921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199222 (or 99611 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 72.

The spelling of 85759842156921 in words is "eighty-five trillion, seven hundred fifty-nine billion, eight hundred forty-two million, one hundred fifty-six thousand, nine hundred twenty-one".