10882180404225 has 135 divisors (see below), whose sum is σ = 21831288361113. Its totient is φ = 5356431063360.

The previous prime is 10882180404217. The next prime is 10882180404247. The reversal of 10882180404225 is 52240408128801.

It is a happy number.

The square root of 10882180404225 is 3298815.

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

10882180404225 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 2 + 18 + 0 + 404 + 225 = 666.

10882180404225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2804898097089 + 8077282307136 = 1674783^2 + 2842056^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 10882180404225 - 2³ = 10882180404217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1929803956 + ... + 1929809594.

Almost surely, 2^{10882180404225} is an apocalyptic number.

10882180404225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10882180404225 is the 3298815-th square number.

10882180404225 is the 1649408-th centered octagonal number.

It is an amenable number.

10882180404225 is an abundant number, since it is smaller than the sum of its proper divisors (10949107956888).

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

10882180404225 is an frugal number, since it uses more digits than its factorization.

10882180404225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 10882180404225 in words is "ten trillion, eight hundred eighty-two billion, one hundred eighty million, four hundred four thousand, two hundred twenty-five".