85011724402208 has 54 divisors (see below), whose sum is σ = 171008525916711. Its totient is φ = 41600282538304.

The previous prime is 85011724402193. The next prime is 85011724402211. The reversal of 85011724402208 is 80220442711058.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42505862201104 + 42505862201104 = 6519652^2 + 6519652^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6519652.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2451371813 + ... + 2451406491.

Almost surely, 2^{85011724402208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85011724402208

85011724402208 is an abundant number, since it is smaller than the sum of its proper divisors (85996801514503).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85011724402208 is an frugal number, since it uses more digits than its factorization.

85011724402208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69462 (or 34728 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 85011724402208 in words is "eighty-five trillion, eleven billion, seven hundred twenty-four million, four hundred two thousand, two hundred eight".