820960805448 has 192 divisors, whose sum is σ = 2594296224000. Its totient is φ = 234436446720.

The previous prime is 820960805447. The next prime is 820960805461. The reversal of 820960805448 is 844508069028.

820960805448 is a `hidden beast` number, since 8 + 2 + 0 + 96 + 0 + 8 + 0 + 544 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 820960805394 and 820960805403.

It is not an unprimeable number, because it can be changed into a prime (820960805447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53360365 + ... + 53375747.

It is an arithmetic number, because the mean of its divisors is an integer number (13511959500).

Almost surely, 2^820960805448 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 820960805448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297148112000).

820960805448 is an abundant number, since it is smaller than the sum of its proper divisors (1773335418552).

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

820960805448 is a wasteful number, since it uses less digits than its factorization.

820960805448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17577 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 820960805448 in words is "eight hundred twenty billion, nine hundred sixty million, eight hundred five thousand, four hundred forty-eight".