10834340288 has 56 divisors (see below), whose sum is σ = 22213824000. Its totient is φ = 5237487360.

The previous prime is 10834340281. The next prime is 10834340291. The reversal of 10834340288 is 88204343801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834340281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2972195 + ... + 2975837.

Almost surely, 2^10834340288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106912000).

10834340288 is an abundant number, since it is smaller than the sum of its proper divisors (11379483712).

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

10834340288 is a wasteful number, since it uses less digits than its factorization.

10834340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 10834340288 in words is "ten billion, eight hundred thirty-four million, three hundred forty thousand, two hundred eighty-eight".