819049916160 has 1440 divisors, whose sum is σ = 3530124702720. Its totient is φ = 177279860736.

The previous prime is 819049916149. The next prime is 819049916173. The reversal of 819049916160 is 61619940918.

819049916160 is a `hidden beast` number, since 8 + 1 + 90 + 499 + 1 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 819049916097 and 819049916106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2320254544 + ... + 2320254896.

It is an arithmetic number, because the mean of its divisors is an integer number (2451475488).

Almost surely, 2^819049916160 is an apocalyptic number.

819049916160 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 819049916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765062351360).

819049916160 is an abundant number, since it is smaller than the sum of its proper divisors (2711074786560).

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

819049916160 is a wasteful number, since it uses less digits than its factorization.

819049916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 819049916160 in words is "eight hundred nineteen billion, forty-nine million, nine hundred sixteen thousand, one hundred sixty".