804035525328 has 480 divisors, whose sum is σ = 2667429273600. Its totient is φ = 225966424320.

The previous prime is 804035525297. The next prime is 804035525399. The reversal of 804035525328 is 823525530408.

804035525328 is a `hidden beast` number, since 8 + 0 + 40 + 3 + 552 + 53 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882585193 + ... + 882586103.

It is an arithmetic number, because the mean of its divisors is an integer number (5557144320).

Almost surely, 2^804035525328 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 804035525328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333714636800).

804035525328 is an abundant number, since it is smaller than the sum of its proper divisors (1863393748272).

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

804035525328 is a wasteful number, since it uses less digits than its factorization.

804035525328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 804035525328 in words is "eight hundred four billion, thirty-five million, five hundred twenty-five thousand, three hundred twenty-eight".