806125612050 has 672 divisors, whose sum is σ = 2613137194944. Its totient is φ = 182767104000.

The previous prime is 806125612021. The next prime is 806125612057. The reversal of 806125612050 is 50216521608.

806125612050 is a `hidden beast` number, since 80 + 6 + 12 + 561 + 2 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 806125611996 and 806125612014.

It is not an unprimeable number, because it can be changed into a prime (806125612057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1547265790 + ... + 1547266310.

Almost surely, 2^806125612050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806125612050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306568597472).

806125612050 is an abundant number, since it is smaller than the sum of its proper divisors (1807011582894).

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

806125612050 is a wasteful number, since it uses less digits than its factorization.

806125612050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 806125612050 in words is "eight hundred six billion, one hundred twenty-five million, six hundred twelve thousand, fifty".