11088999900225 has 81 divisors (see below), whose sum is σ = 21508232625243. Its totient is φ = 5458880269440.

The previous prime is 11088999900179. The next prime is 11088999900317. The reversal of 11088999900225 is 52200999988011.

It is a happy number.

The square root of 11088999900225 is 3330015.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10708542856881 + 380457043344 = 3272391^2 + 616812^2 .

It is not a de Polignac number, because 11088999900225 - 2¹¹ = 11088999898177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 649344387 + ... + 649361463.

Almost surely, 2^{11088999900225} is an apocalyptic number.

11088999900225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11088999900225 is the 3330015-th square number.

11088999900225 is the 1665008-th centered octagonal number.

It is an amenable number.

11088999900225 is a deficient number, since it is larger than the sum of its proper divisors (10419232725018).

11088999900225 is an frugal number, since it uses more digits than its factorization.

11088999900225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34196 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

It can be divided in two parts, 1108899 and 9900225, that added together give a square (11009124 = 3318²).

The spelling of 11088999900225 in words is "eleven trillion, eighty-eight billion, nine hundred ninety-nine million, nine hundred thousand, two hundred twenty-five".