819823718400 has 468 divisors, whose sum is σ = 2801819160936. Its totient is φ = 211491225600.

The previous prime is 819823718393. The next prime is 819823718423. The reversal of 819823718400 is 4817328918.

It is a super-2 number, since 2×819823718400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295217812 + ... + 295220588.

Almost surely, 2^819823718400 is an apocalyptic number.

819823718400 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 819823718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400909580468).

819823718400 is an abundant number, since it is smaller than the sum of its proper divisors (1981995442536).

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

819823718400 is a wasteful number, since it uses less digits than its factorization.

819823718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 819823718400 in words is "eight hundred nineteen billion, eight hundred twenty-three million, seven hundred eighteen thousand, four hundred".