819901768000 has 112 divisors (see below), whose sum is σ = 2320556419584. Its totient is φ = 281109158400.

The previous prime is 819901767973. The next prime is 819901768003. The reversal of 819901768000 is 867109918.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819901768003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7264552 + ... + 7376551.

Almost surely, 2^819901768000 is an apocalyptic number.

819901768000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819901768000 is an abundant number, since it is smaller than the sum of its proper divisors (1500654651584).

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

819901768000 is a wasteful number, since it uses less digits than its factorization.

819901768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641137 (or 14641117 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 49.

The spelling of 819901768000 in words is "eight hundred nineteen billion, nine hundred one million, seven hundred sixty-eight thousand".