85209000000 has 196 divisors, whose sum is σ = 281817330192. Its totient is φ = 22721600000.

The previous prime is 85208999983. The next prime is 85209000017. The reversal of 85209000000 is 90258.

It is an interprime number because it is at equal distance from previous prime (85208999983) and next prime (85209000017).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2985799 + ... + 3014201.

Almost surely, 2^85209000000 is an apocalyptic number.

85209000000 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 85209000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140908665096).

85209000000 is an abundant number, since it is smaller than the sum of its proper divisors (196608330192).

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

85209000000 is an frugal number, since it uses more digits than its factorization.

85209000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28448 (or 28413 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 85209000000 its reverse (90258), we get a palindrome (85209090258).

The spelling of 85209000000 in words is "eighty-five billion, two hundred nine million", and thus it is an aban number.