10804784256 has 192 divisors, whose sum is σ = 35694859200. Its totient is φ = 3073075200.

The previous prime is 10804784251. The next prime is 10804784273. The reversal of 10804784256 is 65248740801.

10804784256 is a `hidden beast` number, since 10 + 80 + 478 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (10804784251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1843731 + ... + 1849581.

It is an arithmetic number, because the mean of its divisors is an integer number (185910725).

Almost surely, 2^10804784256 is an apocalyptic number.

10804784256 is a gapful number since it is divisible by the number (16) 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 10804784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847429600).

10804784256 is an abundant number, since it is smaller than the sum of its proper divisors (24890074944).

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

10804784256 is a wasteful number, since it uses less digits than its factorization.

10804784256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10804784256 in words is "ten billion, eight hundred four million, seven hundred eighty-four thousand, two hundred fifty-six".