10992719287729 has 27 divisors (see below), whose sum is σ = 11800260303553. Its totient is φ = 10238347376000.

The previous prime is 10992719287727. The next prime is 10992719287769. The reversal of 10992719287729 is 92778291729901.

The square root of 10992719287729 is 3315527.

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 6546306030625 + 4446413257104 = 2558575^2 + 2108652^2 .

It is not a de Polignac number, because 10992719287729 - 2¹ = 10992719287727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10992719287727) 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, 5692758894 + ... + 5692760824.

Almost surely, 2^{10992719287729} is an apocalyptic number.

10992719287729 is the 3315527-th square number.

10992719287729 is the 1657764-th centered octagonal number.

It is an amenable number.

10992719287729 is a deficient number, since it is larger than the sum of its proper divisors (807541015824).

10992719287729 is an frugal number, since it uses more digits than its factorization.

10992719287729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 73.

The spelling of 10992719287729 in words is "ten trillion, nine hundred ninety-two billion, seven hundred nineteen million, two hundred eighty-seven thousand, seven hundred twenty-nine".