806122356039000 has 6144 divisors, whose sum is σ = 3976883437363200. Its totient is φ = 145790668800000.

The previous prime is 806122356038947. The next prime is 806122356039017. The reversal of 806122356039000 is 930653221608.

806122356039000 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 2 + 2 + 35 + 603 + 9 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 1064890826622 + ... + 1064890827378.

It is an arithmetic number, because the mean of its divisors is an integer number (647279205300).

Almost surely, 2^{806122356039000} 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 806122356039000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988441718681600).

806122356039000 is an abundant number, since it is smaller than the sum of its proper divisors (3170761081324200).

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

806122356039000 is a wasteful number, since it uses less digits than its factorization.

806122356039000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 806122356039000 in words is "eight hundred six trillion, one hundred twenty-two billion, three hundred fifty-six million, thirty-nine thousand".