10805549960 has 64 divisors (see below), whose sum is σ = 25502791680. Its totient is φ = 4112584960.

The previous prime is 10805549947. The next prime is 10805550001. The reversal of 10805549960 is 6994550801.

It is a happy number.

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, 144974 + ... + 206466.

It is an arithmetic number, because the mean of its divisors is an integer number (398481120).

Almost surely, 2^10805549960 is an apocalyptic number.

10805549960 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 10805549960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12751395840).

10805549960 is an abundant number, since it is smaller than the sum of its proper divisors (14697241720).

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

10805549960 is a wasteful number, since it uses less digits than its factorization.

10805549960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61718 (or 61714 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 10805549960 in words is "ten billion, eight hundred five million, five hundred forty-nine thousand, nine hundred sixty".