85027102160 has 1280 divisors, whose sum is σ = 302380646400. Its totient is φ = 21366374400.

The previous prime is 85027102159. The next prime is 85027102177. The reversal of 85027102160 is 6120172058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1809087257 + ... + 1809087303.

It is an arithmetic number, because the mean of its divisors is an integer number (236234880).

Almost surely, 2^85027102160 is an apocalyptic number.

85027102160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85027102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151190323200).

85027102160 is an abundant number, since it is smaller than the sum of its proper divisors (217353544240).

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

85027102160 is a wasteful number, since it uses less digits than its factorization.

85027102160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 85027102160 in words is "eighty-five billion, twenty-seven million, one hundred two thousand, one hundred sixty".