85813491168 has 144 divisors (see below), whose sum is σ = 249698816640. Its totient is φ = 27946259712.

The previous prime is 85813491151. The next prime is 85813491217. The reversal of 85813491168 is 86119431858.

It is a happy number.

85813491168 is a `hidden beast` number, since 8 + 581 + 3 + 49 + 1 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2754205 + ... + 2785187.

It is an arithmetic number, because the mean of its divisors is an integer number (1734019560).

Almost surely, 2^85813491168 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 85813491168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124849408320).

85813491168 is an abundant number, since it is smaller than the sum of its proper divisors (163885325472).

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

85813491168 is a wasteful number, since it uses less digits than its factorization.

85813491168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31221 (or 31210 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 85813491168 in words is "eighty-five billion, eight hundred thirteen million, four hundred ninety-one thousand, one hundred sixty-eight".