85309209600 has 792 divisors, whose sum is σ = 316816941168. Its totient is φ = 20171980800.

The previous prime is 85309209569. The next prime is 85309209647. The reversal of 85309209600 is 690290358.

It is a super-2 number, since 2×85309209600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471321510 + ... + 471321690.

Almost surely, 2^85309209600 is an apocalyptic number.

85309209600 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 85309209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158408470584).

85309209600 is an abundant number, since it is smaller than the sum of its proper divisors (231507731568).

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

85309209600 is a wasteful number, since it uses less digits than its factorization.

85309209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

Adding to 85309209600 its reverse (690290358), we get a palindrome (85999499958).

The spelling of 85309209600 in words is "eighty-five billion, three hundred nine million, two hundred nine thousand, six hundred".