85827905296 has 45 divisors (see below), whose sum is σ = 193459699911. Its totient is φ = 36779872416.

The previous prime is 85827905279. The next prime is 85827905309. The reversal of 85827905296 is 69250972858.

The square root of 85827905296 is 292964.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8197761 + ... + 8208223.

Almost surely, 2^85827905296 is an apocalyptic number.

85827905296 is the 292964-th square number.

It is an amenable number.

85827905296 is an abundant number, since it is smaller than the sum of its proper divisors (107631794615).

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

85827905296 is an frugal number, since it uses more digits than its factorization.

85827905296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20948 (or 10472 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 85827905296 in words is "eighty-five billion, eight hundred twenty-seven million, nine hundred five thousand, two hundred ninety-six".