820299860226 has 192 divisors, whose sum is σ = 2380105728000. Its totient is φ = 201850639200.

The previous prime is 820299860189. The next prime is 820299860227. The reversal of 820299860226 is 622068992028.

820299860226 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 9 + 9 + 8 + 602 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (820299860227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972511 + ... + 1608221.

It is an arithmetic number, because the mean of its divisors is an integer number (12396384000).

Almost surely, 2^820299860226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820299860226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190052864000).

820299860226 is an abundant number, since it is smaller than the sum of its proper divisors (1559805867774).

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

820299860226 is a wasteful number, since it uses less digits than its factorization.

820299860226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635770 (or 635753 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 820299860226 in words is "eight hundred twenty billion, two hundred ninety-nine million, eight hundred sixty thousand, two hundred twenty-six".