85735866103405 has 16 divisors (see below), whose sum is σ = 117842488588800. Its totient is φ = 58659372076032.

The previous prime is 85735866103367. The next prime is 85735866103421. The reversal of 85735866103405 is 50430166853758.

It is not a de Polignac number, because 85735866103405 - 2⁹ = 85735866102893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2727819669 + ... + 2727851098.

It is an arithmetic number, because the mean of its divisors is an integer number (7365155536800).

Almost surely, 2^{85735866103405} is an apocalyptic number.

It is an amenable number.

85735866103405 is a deficient number, since it is larger than the sum of its proper divisors (32106622485395).

85735866103405 is a wasteful number, since it uses less digits than its factorization.

85735866103405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455671228.

The product of its (nonzero) digits is 72576000, while the sum is 61.

The spelling of 85735866103405 in words is "eighty-five trillion, seven hundred thirty-five billion, eight hundred sixty-six million, one hundred three thousand, four hundred five".