85385461567 has 16 divisors (see below), whose sum is σ = 99521856000. Its totient is φ = 71740798560.

The previous prime is 85385461547. The next prime is 85385461571. The reversal of 85385461567 is 76516458358.

It is a cyclic number.

It is not a de Polignac number, because 85385461567 - 2¹⁹ = 85384937279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85385461507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152059 + ... + 440332.

It is an arithmetic number, because the mean of its divisors is an integer number (6220116000).

Almost surely, 2^85385461567 is an apocalyptic number.

85385461567 is a deficient number, since it is larger than the sum of its proper divisors (14136394433).

85385461567 is a wasteful number, since it uses less digits than its factorization.

85385461567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592806.

The product of its digits is 24192000, while the sum is 58.

The spelling of 85385461567 in words is "eighty-five billion, three hundred eighty-five million, four hundred sixty-one thousand, five hundred sixty-seven".