85873817657 has 16 divisors (see below), whose sum is σ = 87998657472. Its totient is φ = 83775014400.

The previous prime is 85873817651. The next prime is 85873817717. The reversal of 85873817657 is 75671837858.

It is a cyclic number.

It is not a de Polignac number, because 85873817657 - 2⁸ = 85873817401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85873817593 and 85873817602.

It is not an unprimeable number, because it can be changed into a prime (85873817651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10981613 + ... + 10989429.

It is an arithmetic number, because the mean of its divisors is an integer number (5499916092).

Almost surely, 2^85873817657 is an apocalyptic number.

It is an amenable number.

85873817657 is a deficient number, since it is larger than the sum of its proper divisors (2124839815).

85873817657 is a wasteful number, since it uses less digits than its factorization.

85873817657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448.

The product of its digits is 79027200, while the sum is 65.

The spelling of 85873817657 in words is "eighty-five billion, eight hundred seventy-three million, eight hundred seventeen thousand, six hundred fifty-seven".