85188052049 has 16 divisors (see below), whose sum is σ = 89374233600. Its totient is φ = 81096960000.

The previous prime is 85188052031. The next prime is 85188052093. The reversal of 85188052049 is 94025088158.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85188052049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85188051988 and 85188052006.

It is not an unprimeable number, because it can be changed into a prime (85188072049) 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 15 ways as a sum of consecutive naturals, for example, 945149 + ... + 1031349.

It is an arithmetic number, because the mean of its divisors is an integer number (5585889600).

Almost surely, 2^85188052049 is an apocalyptic number.

It is an amenable number.

85188052049 is a deficient number, since it is larger than the sum of its proper divisors (4186181551).

85188052049 is a wasteful number, since it uses less digits than its factorization.

85188052049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86752.

The product of its (nonzero) digits is 921600, while the sum is 50.

The spelling of 85188052049 in words is "eighty-five billion, one hundred eighty-eight million, fifty-two thousand, forty-nine".