10727013644944 has 135 divisors (see below), whose sum is σ = 21884025921147. Its totient is φ = 5093609702400.

The previous prime is 10727013644917. The next prime is 10727013644947. The reversal of 10727013644944 is 44944631072701.

The square root of 10727013644944 is 3275212.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8052768307600 + 2674245337344 = 2837740^2 + 1635312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10727013644891 and 10727013644900.

It is not an unprimeable number, because it can be changed into a prime (10727013644947) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24773703352 + ... + 24773703784.

Almost surely, 2^{10727013644944} is an apocalyptic number.

10727013644944 is the 3275212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10727013644944

10727013644944 is an abundant number, since it is smaller than the sum of its proper divisors (11157012276203).

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

10727013644944 is an frugal number, since it uses more digits than its factorization.

10727013644944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 10727013644944 in words is "ten trillion, seven hundred twenty-seven billion, thirteen million, six hundred forty-four thousand, nine hundred forty-four".