10806304320 has 336 divisors, whose sum is σ = 44979262848. Its totient is φ = 2324643840.

The previous prime is 10806304273. The next prime is 10806304361. The reversal of 10806304320 is 2340360801.

It is a happy number.

10806304320 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 630 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326955 + ... + 358485.

Almost surely, 2^10806304320 is an apocalyptic number.

10806304320 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 10806304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489631424).

10806304320 is an abundant number, since it is smaller than the sum of its proper divisors (34172958528).

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

10806304320 is a wasteful number, since it uses less digits than its factorization.

10806304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31578 (or 31565 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10806304320 in words is "ten billion, eight hundred six million, three hundred four thousand, three hundred twenty".