10873639285344 has 144 divisors (see below), whose sum is σ = 33738396728400. Its totient is φ = 3294514529280.

The previous prime is 10873639285241. The next prime is 10873639285351. The reversal of 10873639285344 is 44358293637801.

It is a happy number.

10873639285344 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 3 + 6 + 3 + 9 + 285 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 19740582 + ... + 20283930.

It is an arithmetic number, because the mean of its divisors is an integer number (234294421725).

It is a 1-persistent number, because it is pandigital, but 2⋅10873639285344 = 21747278570688 is not.

Almost surely, 2^{10873639285344} 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 10873639285344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869198364200).

10873639285344 is an abundant number, since it is smaller than the sum of its proper divisors (22864757443056).

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

10873639285344 is a wasteful number, since it uses less digits than its factorization.

10873639285344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549693 (or 549682 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 10873639285344 in words is "ten trillion, eight hundred seventy-three billion, six hundred thirty-nine million, two hundred eighty-five thousand, three hundred forty-four".