10804584960 has 240 divisors, whose sum is σ = 40298842584. Its totient is φ = 2659516416.

The previous prime is 10804584937. The next prime is 10804584961. The reversal of 10804584960 is 6948540801.

10804584960 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 4 + 584 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9096581376 + 1708003584 = 95376^2 + 41328^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10804584961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281484 + ... + 317556.

Almost surely, 2^10804584960 is an apocalyptic number.

10804584960 is a gapful number since it is divisible by the number (10) 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 10804584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20149421292).

10804584960 is an abundant number, since it is smaller than the sum of its proper divisors (29494257624).

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

10804584960 is a wasteful number, since it uses less digits than its factorization.

10804584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36115 (or 36096 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10804584960 in words is "ten billion, eight hundred four million, five hundred eighty-four thousand, nine hundred sixty".