85266191565 has 64 divisors (see below), whose sum is σ = 153450961920. Its totient is φ = 44917830720.

The previous prime is 85266191509. The next prime is 85266191573. The reversal of 85266191565 is 56519166258.

85266191565 is a `hidden beast` number, since 8 + 5 + 2 + 6 + 619 + 15 + 6 + 5 = 666.

It is not a de Polignac number, because 85266191565 - 2¹⁸ = 85265929421 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5003910 + ... + 5020920.

It is an arithmetic number, because the mean of its divisors is an integer number (2397671280).

Almost surely, 2^85266191565 is an apocalyptic number.

It is an amenable number.

85266191565 is a deficient number, since it is larger than the sum of its proper divisors (68184770355).

85266191565 is a wasteful number, since it uses less digits than its factorization.

85266191565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17479 (or 17473 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

It can be divided in two parts, 85266191 and 565, that added together give a square (85266756 = 9234²).

The spelling of 85266191565 in words is "eighty-five billion, two hundred sixty-six million, one hundred ninety-one thousand, five hundred sixty-five".