85819200000 has 480 divisors, whose sum is σ = 301126351680. Its totient is φ = 21657600000.

The previous prime is 85819199989. The next prime is 85819200001. The reversal of 85819200000 is 291858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (85819200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91199530 + ... + 91200470.

It is an arithmetic number, because the mean of its divisors is an integer number (627346566).

Almost surely, 2^85819200000 is an apocalyptic number.

85819200000 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 85819200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150563175840).

85819200000 is an abundant number, since it is smaller than the sum of its proper divisors (215307151680).

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

85819200000 is an frugal number, since it uses more digits than its factorization.

85819200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 85819200000 its reverse (291858), we get a palindrome (85819491858).

The spelling of 85819200000 in words is "eighty-five billion, eight hundred nineteen million, two hundred thousand".