10844098560 has 312 divisors, whose sum is σ = 38998333920. Its totient is φ = 2890432512.

The previous prime is 10844098543. The next prime is 10844098571. The reversal of 10844098560 is 6589044801.

10844098560 is a `hidden beast` number, since 1 + 0 + 84 + 4 + 0 + 9 + 8 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4975551 + ... + 4977729.

It is an arithmetic number, because the mean of its divisors is an integer number (124994660).

Almost surely, 2^10844098560 is an apocalyptic number.

10844098560 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 10844098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499166960).

10844098560 is an abundant number, since it is smaller than the sum of its proper divisors (28154235360).

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

10844098560 is an frugal number, since it uses more digits than its factorization.

10844098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2189 counting only the distinct ones).

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

The spelling of 10844098560 in words is "ten billion, eight hundred forty-four million, ninety-eight thousand, five hundred sixty".