85300211844 has 27 divisors (see below), whose sum is σ = 215624409637. Its totient is φ = 28432819824.

The previous prime is 85300211837. The next prime is 85300211863. The reversal of 85300211844 is 44811200358.

The square root of 85300211844 is 292062.

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

85300211844 is a `hidden beast` number, since 8 + 530 + 0 + 2 + 118 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47162808900 + 38137402944 = 217170^2 + 195288^2 .

It is a super-2 number, since 2×85300211844² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85300211799 and 85300211808.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1728034 + ... + 1776710.

Almost surely, 2^85300211844 is an apocalyptic number.

85300211844 is the 292062-nd square number.

It is an amenable number.

85300211844 is an abundant number, since it is smaller than the sum of its proper divisors (130324197793).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85300211844 is an frugal number, since it uses more digits than its factorization.

85300211844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97364 (or 48682 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 85300211844 by its sum of digits (36), we get a square (3070807626384 = 1752372²).

85300211844 divided by its sum of digits (36) gives a square (2369450329 = 48677²).

The spelling of 85300211844 in words is "eighty-five billion, three hundred million, two hundred eleven thousand, eight hundred forty-four".