10794834720 has 288 divisors, whose sum is σ = 39768019200. Its totient is φ = 2658281472.

The previous prime is 10794834719. The next prime is 10794834793. The reversal of 10794834720 is 2743849701.

10794834720 is a `hidden beast` number, since 10 + 7 + 94 + 83 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954861 + ... + 966099.

It is an arithmetic number, because the mean of its divisors is an integer number (138083400).

Almost surely, 2^10794834720 is an apocalyptic number.

10794834720 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 10794834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884009600).

10794834720 is an abundant number, since it is smaller than the sum of its proper divisors (28973184480).

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

10794834720 is a wasteful number, since it uses less digits than its factorization.

10794834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10794834720 in words is "ten billion, seven hundred ninety-four million, eight hundred thirty-four thousand, seven hundred twenty".