819282806724096 has 2560 divisors, whose sum is σ = 3070272649973760. Its totient is φ = 213660771287040.

The previous prime is 819282806724071. The next prime is 819282806724199. The reversal of 819282806724096 is 690427608282918.

819282806724096 is a `hidden beast` number, since 8 + 1 + 9 + 2 + 82 + 80 + 67 + 2 + 409 + 6 = 666.

It is a super-2 number, since 2×819282806724096² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 459496806021 + ... + 459496807803.

It is an arithmetic number, because the mean of its divisors is an integer number (1199325253896).

Almost surely, 2^{819282806724096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819282806724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535136324986880).

819282806724096 is an abundant number, since it is smaller than the sum of its proper divisors (2250989843249664).

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

819282806724096 is a wasteful number, since it uses less digits than its factorization.

819282806724096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 819282806724096 in words is "eight hundred nineteen trillion, two hundred eighty-two billion, eight hundred six million, seven hundred twenty-four thousand, ninety-six".