85353488435358 has 192 divisors, whose sum is σ = 230055691320000. Its totient is φ = 22469505454080.

The previous prime is 85353488435329. The next prime is 85353488435393.

85353488435358 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 3 + 4 + 8 + 84 + 3 + 535 + 8 = 666.

85353488435358 is nontrivially palindromic in base 10.

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 95 ways as a sum of consecutive naturals, for example, 1109183068 + ... + 1109260016.

It is an arithmetic number, because the mean of its divisors is an integer number (1198206725625).

Almost surely, 2^{85353488435358} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85353488435358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115027845660000).

85353488435358 is an abundant number, since it is smaller than the sum of its proper divisors (144702202884642).

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

85353488435358 is a wasteful number, since it uses less digits than its factorization.

85353488435358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102347 (or 102344 counting only the distinct ones).

The product of its digits is 3317760000, while the sum is 72.

The spelling of 85353488435358 in words is "eighty-five trillion, three hundred fifty-three billion, four hundred eighty-eight million, four hundred thirty-five thousand, three hundred fifty-eight".