85285491200 has 960 divisors, whose sum is σ = 283864331520. Its totient is φ = 24631050240.

The previous prime is 85285491199. The next prime is 85285491341. The reversal of 85285491200 is 219458258.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1168294364 + ... + 1168294436.

It is an arithmetic number, because the mean of its divisors is an integer number (295692012).

Almost surely, 2^85285491200 is an apocalyptic number.

85285491200 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 85285491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141932165760).

85285491200 is an abundant number, since it is smaller than the sum of its proper divisors (198578840320).

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

85285491200 is a wasteful number, since it uses less digits than its factorization.

85285491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 85285491200 in words is "eighty-five billion, two hundred eighty-five million, four hundred ninety-one thousand, two hundred".