819803324160 has 288 divisors, whose sum is σ = 2913190560000. Its totient is φ = 218311593984.

The previous prime is 819803324111. The next prime is 819803324227. The reversal of 819803324160 is 61423308918.

819803324160 is a `hidden beast` number, since 81 + 9 + 80 + 332 + 4 + 160 = 666.

819803324160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25523791 + ... + 25555889.

It is an arithmetic number, because the mean of its divisors is an integer number (10115245000).

Almost surely, 2^819803324160 is an apocalyptic number.

819803324160 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 819803324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456595280000).

819803324160 is an abundant number, since it is smaller than the sum of its proper divisors (2093387235840).

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

819803324160 is a wasteful number, since it uses less digits than its factorization.

819803324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32868 (or 32848 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 819803324160 in words is "eight hundred nineteen billion, eight hundred three million, three hundred twenty-four thousand, one hundred sixty".