85041332800 has 336 divisors, whose sum is σ = 224049945600. Its totient is φ = 31712256000.

The previous prime is 85041332791. The next prime is 85041332807. The reversal of 85041332800 is 823314058.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85041332807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 273444645 + ... + 273444955.

Almost surely, 2^85041332800 is an apocalyptic number.

85041332800 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 85041332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112024972800).

85041332800 is an abundant number, since it is smaller than the sum of its proper divisors (139008612800).

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

85041332800 is a wasteful number, since it uses less digits than its factorization.

85041332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 85041332800 its reverse (823314058), we get a palindrome (85864646858).

The spelling of 85041332800 in words is "eighty-five billion, forty-one million, three hundred thirty-two thousand, eight hundred".