85530745827 has 64 divisors (see below), whose sum is σ = 135454617600. Its totient is φ = 53221432320.

The previous prime is 85530745777. The next prime is 85530745829. The reversal of 85530745827 is 72854703558.

85530745827 is a `hidden beast` number, since 8 + 5 + 53 + 0 + 7 + 4 + 582 + 7 = 666.

It is not a de Polignac number, because 85530745827 - 2⁸ = 85530745571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85530745829) 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, 42403923 + ... + 42405939.

It is an arithmetic number, because the mean of its divisors is an integer number (2116478400).

Almost surely, 2^85530745827 is an apocalyptic number.

85530745827 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

85530745827 is a deficient number, since it is larger than the sum of its proper divisors (49923871773).

85530745827 is a wasteful number, since it uses less digits than its factorization.

85530745827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 85530745827 in words is "eighty-five billion, five hundred thirty million, seven hundred forty-five thousand, eight hundred twenty-seven".