85295038360168 has 768 divisors, whose sum is σ = 218898757324800. Its totient is φ = 30299197685760.

The previous prime is 85295038360151. The next prime is 85295038360229. The reversal of 85295038360168 is 86106383059258.

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 191 ways as a sum of consecutive naturals, for example, 102889068778 + ... + 102889069606.

It is an arithmetic number, because the mean of its divisors is an integer number (285024423600).

Almost surely, 2^{85295038360168} 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 85295038360168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109449378662400).

85295038360168 is an abundant number, since it is smaller than the sum of its proper divisors (133603718964632).

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

85295038360168 is a wasteful number, since it uses less digits than its factorization.

85295038360168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

The spelling of 85295038360168 in words is "eighty-five trillion, two hundred ninety-five billion, thirty-eight million, three hundred sixty thousand, one hundred sixty-eight".