10212728581696 has 63 divisors (see below), whose sum is σ = 20387705827377. Its totient is φ = 5075851403520.

The previous prime is 10212728581651. The next prime is 10212728581711. The reversal of 10212728581696 is 69618582721201.

The square root of 10212728581696 is 3195736.

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., 112536095296 + 10100192486400 = 335464^2 + 3178080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10212728581696.

It is an unprimeable number.

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, 4627424625 + ... + 4627426831.

Almost surely, 2^{10212728581696} is an apocalyptic number.

10212728581696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10212728581696 is the 3195736-th square number.

It is an amenable number.

10212728581696 is a deficient number, since it is larger than the sum of its proper divisors (10174977245681).

10212728581696 is an frugal number, since it uses more digits than its factorization.

10212728581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 10212728581696 in words is "ten trillion, two hundred twelve billion, seven hundred twenty-eight million, five hundred eighty-one thousand, six hundred ninety-six".