820796585448 has 256 divisors, whose sum is σ = 2464237486080. Its totient is φ = 222899040000.

The previous prime is 820796585429. The next prime is 820796585473. The reversal of 820796585448 is 844585697028.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100203033 + ... + 100211223.

It is an arithmetic number, because the mean of its divisors is an integer number (9625927680).

Almost surely, 2^820796585448 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 820796585448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232118743040).

820796585448 is an abundant number, since it is smaller than the sum of its proper divisors (1643440900632).

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

820796585448 is a wasteful number, since it uses less digits than its factorization.

820796585448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 820796585448 in words is "eight hundred twenty billion, seven hundred ninety-six million, five hundred eighty-five thousand, four hundred forty-eight".