85776008009 has 8 divisors (see below), whose sum is σ = 87967572480. Its totient is φ = 83599716256.

The previous prime is 85776007939. The next prime is 85776008023. The reversal of 85776008009 is 90080067758.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85776008009 - 2⁸ = 85776007753 is a prime.

It is a super-3 number, since 3×85776008009³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85776008039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3806804 + ... + 3829269.

It is an arithmetic number, because the mean of its divisors is an integer number (10995946560).

Almost surely, 2^85776008009 is an apocalyptic number.

It is an amenable number.

85776008009 is a deficient number, since it is larger than the sum of its proper divisors (2191564471).

85776008009 is a wasteful number, since it uses less digits than its factorization.

85776008009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636359.

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 85776008009 in words is "eighty-five billion, seven hundred seventy-six million, eight thousand, nine".