85123336800 has 144 divisors (see below), whose sum is σ = 278182320192. Its totient is φ = 22608960000.

The previous prime is 85123336763. The next prime is 85123336807. The reversal of 85123336800 is 863332158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85123336807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531747 + ... + 673053.

It is an arithmetic number, because the mean of its divisors is an integer number (1931821668).

Almost surely, 2^85123336800 is an apocalyptic number.

85123336800 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 85123336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139091160096).

85123336800 is an abundant number, since it is smaller than the sum of its proper divisors (193058983392).

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

85123336800 is a wasteful number, since it uses less digits than its factorization.

85123336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141581 (or 141568 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 85123336800 its reverse (863332158), we get a palindrome (85986668958).

The spelling of 85123336800 in words is "eighty-five billion, one hundred twenty-three million, three hundred thirty-six thousand, eight hundred".