85200076657 has 16 divisors (see below), whose sum is σ = 90203604480. Its totient is φ = 80308800000.

The previous prime is 85200076631. The next prime is 85200076679. The reversal of 85200076657 is 75667000258.

It is a cyclic number.

It is not a de Polignac number, because 85200076657 - 2⁷ = 85200076529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85200076957) 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, 901657 + ... + 991657.

It is an arithmetic number, because the mean of its divisors is an integer number (5637725280).

Almost surely, 2^85200076657 is an apocalyptic number.

It is an amenable number.

85200076657 is a deficient number, since it is larger than the sum of its proper divisors (5003527823).

85200076657 is a wasteful number, since it uses less digits than its factorization.

85200076657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90624.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 85200076657 in words is "eighty-five billion, two hundred million, seventy-six thousand, six hundred fifty-seven".