811305280000 has 400 divisors, whose sum is σ = 2156337219960. Its totient is φ = 303792128000.

The previous prime is 811305279989. The next prime is 811305280001. The reversal of 811305280000 is 82503118.

It can be written as a sum of positive squares in 20 ways, for example, as 5705687296 + 805599592704 = 75536^2 + 897552^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (811305280001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1593919746 + ... + 1593920254.

Almost surely, 2^811305280000 is an apocalyptic number.

811305280000 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 811305280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078168609980).

811305280000 is an abundant number, since it is smaller than the sum of its proper divisors (1345031939960).

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

811305280000 is an equidigital number, since it uses as much as digits as its factorization.

811305280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 811305280000 its reverse (82503118), we get a palindrome (811387783118).

The spelling of 811305280000 in words is "eight hundred eleven billion, three hundred five million, two hundred eighty thousand".