1166410800025 has 27 divisors (see below), whose sum is σ = 1470864117879. Its totient is φ = 917572248000.

The previous prime is 1166410800019. The next prime is 1166410800089. The reversal of 1166410800025 is 5200080146611.

The square root of 1166410800025 is 1080005.

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 1164320847369 + 2089952656 = 1079037^2 + 45716^2 .

It is not a de Polignac number, because 1166410800025 - 2⁵ = 1166410799993 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 329399755 + ... + 329403295.

Almost surely, 2^{1166410800025} is an apocalyptic number.

1166410800025 is the 1080005-th square number.

1166410800025 is the 540003-rd centered octagonal number.

It is an amenable number.

1166410800025 is a deficient number, since it is larger than the sum of its proper divisors (304453317854).

1166410800025 is an frugal number, since it uses more digits than its factorization.

1166410800025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

Adding to 1166410800025 its reverse (5200080146611), we get a palindrome (6366490946636).

The spelling of 1166410800025 in words is "one trillion, one hundred sixty-six billion, four hundred ten million, eight hundred thousand, twenty-five".