85735866103467 has 8 divisors (see below), whose sum is σ = 114314535820800. Its totient is φ = 57157220227560.

The previous prime is 85735866103457. The next prime is 85735866103469. The reversal of 85735866103467 is 76430166853758.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85735866103467 - 2⁷ = 85735866103339 is a prime.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (85735866103469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5675742 + ... + 14271852.

It is an arithmetic number, because the mean of its divisors is an integer number (14289316977600).

Almost surely, 2^{85735866103467} is an apocalyptic number.

85735866103467 is a deficient number, since it is larger than the sum of its proper divisors (28578669717333).

85735866103467 is a wasteful number, since it uses less digits than its factorization.

85735866103467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920713.

The product of its (nonzero) digits is 609638400, while the sum is 69.

The spelling of 85735866103467 in words is "eighty-five trillion, seven hundred thirty-five billion, eight hundred sixty-six million, one hundred three thousand, four hundred sixty-seven".