10834743360 has 448 divisors, whose sum is σ = 41477184000. Its totient is φ = 2343763968.

The previous prime is 10834743347. The next prime is 10834743379. The reversal of 10834743360 is 6334743801.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10328116 + ... + 10329164.

It is an arithmetic number, because the mean of its divisors is an integer number (92583000).

Almost surely, 2^10834743360 is an apocalyptic number.

10834743360 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 10834743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738592000).

10834743360 is an abundant number, since it is smaller than the sum of its proper divisors (30642440640).

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

10834743360 is a wasteful number, since it uses less digits than its factorization.

10834743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 10834743360 in words is "ten billion, eight hundred thirty-four million, seven hundred forty-three thousand, three hundred sixty".