10662745728996 has 135 divisors (see below), whose sum is σ = 27631457399091. Its totient is φ = 3466977870096.

The previous prime is 10662745728977. The next prime is 10662745729007. The reversal of 10662745728996 is 69982754726601.

The square root of 10662745728996 is 3265386.

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

10662745728996 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 7 + 457 + 2 + 89 + 96 = 666.

It is a super-2 number, since 2×10662745728996² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128466815971 + ... + 128466816053.

Almost surely, 2^{10662745728996} is an apocalyptic number.

10662745728996 is the 3265386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10662745728996

10662745728996 is an abundant number, since it is smaller than the sum of its proper divisors (16968711670095).

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

10662745728996 is an frugal number, since it uses more digits than its factorization.

10662745728996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 10662745728996 in words is "ten trillion, six hundred sixty-two billion, seven hundred forty-five million, seven hundred twenty-eight thousand, nine hundred ninety-six".