804175126272 has 432 divisors, whose sum is σ = 2814905882880. Its totient is φ = 221830189056.

The previous prime is 804175126241. The next prime is 804175126273. The reversal of 804175126272 is 272621571408.

804175126272 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 7 + 5 + 12 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804175126273) 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 47 ways as a sum of consecutive naturals, for example, 40681063 + ... + 40700825.

It is an arithmetic number, because the mean of its divisors is an integer number (6515985840).

Almost surely, 2^804175126272 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 804175126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407452941440).

804175126272 is an abundant number, since it is smaller than the sum of its proper divisors (2010730756608).

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

804175126272 is a wasteful number, since it uses less digits than its factorization.

804175126272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19853 (or 19804 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 804175126272 in words is "eight hundred four billion, one hundred seventy-five million, one hundred twenty-six thousand, two hundred seventy-two".