85827348711 has 64 divisors (see below), whose sum is σ = 142997836800. Its totient is φ = 50480952192.

The previous prime is 85827348643. The next prime is 85827348713. The reversal of 85827348711 is 11784372858.

85827348711 is a `hidden beast` number, since 8 + 5 + 82 + 73 + 487 + 11 = 666.

It is not a de Polignac number, because 85827348711 - 2¹³ = 85827340519 is a prime.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85827348713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12743901 + ... + 12750633.

It is an arithmetic number, because the mean of its divisors is an integer number (2234341200).

Almost surely, 2^85827348711 is an apocalyptic number.

85827348711 is a deficient number, since it is larger than the sum of its proper divisors (57170488089).

85827348711 is a wasteful number, since it uses less digits than its factorization.

85827348711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8351 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 85827348711 in words is "eighty-five billion, eight hundred twenty-seven million, three hundred forty-eight thousand, seven hundred eleven".