804553355408 has 80 divisors (see below), whose sum is σ = 1761468508800. Its totient is φ = 352634634240.

The previous prime is 804553355381. The next prime is 804553355413.

804553355408 is nontrivially palindromic in base 10.

804553355408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×804553355408² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822485 + ... + 4027467.

It is an arithmetic number, because the mean of its divisors is an integer number (22018356360).

Almost surely, 2^804553355408 is an apocalyptic number.

804553355408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804553355408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880734254400).

804553355408 is an abundant number, since it is smaller than the sum of its proper divisors (956915153392).

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

804553355408 is a wasteful number, since it uses less digits than its factorization.

804553355408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205800 (or 205794 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 50.

The spelling of 804553355408 in words is "eight hundred four billion, five hundred fifty-three million, three hundred fifty-five thousand, four hundred eight".