85735496455 has 16 divisors (see below), whose sum is σ = 117600425280. Its totient is φ = 58779896832.

The previous prime is 85735496447. The next prime is 85735496461. The reversal of 85735496455 is 55469453758.

It is a cyclic number.

It is not a de Polignac number, because 85735496455 - 2³ = 85735496447 is a prime.

It is a super-3 number, since 3×85735496455³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85735496393 and 85735496402.

It is a congruent number.

It is an unprimeable number.

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, 3274 + ... + 414103.

It is an arithmetic number, because the mean of its divisors is an integer number (7350026580).

Almost surely, 2^85735496455 is an apocalyptic number.

85735496455 is a deficient number, since it is larger than the sum of its proper divisors (31864928825).

85735496455 is a wasteful number, since it uses less digits than its factorization.

85735496455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423258.

The product of its digits is 90720000, while the sum is 61.

The spelling of 85735496455 in words is "eighty-five billion, seven hundred thirty-five million, four hundred ninety-six thousand, four hundred fifty-five".