10875379310656 has 63 divisors (see below), whose sum is σ = 25104658074429. Its totient is φ = 4660797700608.

The previous prime is 10875379310623. The next prime is 10875379310659. The reversal of 10875379310656 is 65601397357801.

The square root of 10875379310656 is 3297784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2395635310656 + 8479744000000 = 1547784^2 + 2912000^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10875379310594 and 10875379310603.

It is not an unprimeable number, because it can be changed into a prime (10875379310659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184646460 + ... + 184705348.

Almost surely, 2^{10875379310656} is an apocalyptic number.

10875379310656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10875379310656 is the 3297784-th square number.

It is an amenable number.

10875379310656 is an abundant number, since it is smaller than the sum of its proper divisors (14229278763773).

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

10875379310656 is an frugal number, since it uses more digits than its factorization.

10875379310656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117804 (or 58898 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 61.

The spelling of 10875379310656 in words is "ten trillion, eight hundred seventy-five billion, three hundred seventy-nine million, three hundred ten thousand, six hundred fifty-six".