85271853168 has 140 divisors (see below), whose sum is σ = 260745948840. Its totient is φ = 26927883648.

The previous prime is 85271853167. The next prime is 85271853169. The reversal of 85271853168 is 86135817258.

85271853168 is a `hidden beast` number, since 8 + 527 + 1 + 8 + 53 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (85271853167) and next prime (85271853169).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85271853167) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29230 + ... + 414002.

Almost surely, 2^85271853168 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 85271853168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130372974420).

85271853168 is an abundant number, since it is smaller than the sum of its proper divisors (175474095672).

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

85271853168 is a wasteful number, since it uses less digits than its factorization.

85271853168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384818 (or 384797 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 85271853168 in words is "eighty-five billion, two hundred seventy-one million, eight hundred fifty-three thousand, one hundred sixty-eight".