10868527595025 has 135 divisors (see below), whose sum is σ = 20484774208899. Its totient is φ = 5696775360000.

The previous prime is 10868527595011. The next prime is 10868527595069. The reversal of 10868527595025 is 52059572586801.

The square root of 10868527595025 is 3296745.

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

10868527595025 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 8 + 52 + 75 + 9 + 502 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6302544977169 + 4565982617856 = 2510487^2 + 2136816^2 .

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

It is not a de Polignac number, because 10868527595025 - 2⁵ = 10868527594993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9049564425 + ... + 9049565625.

Almost surely, 2^{10868527595025} is an apocalyptic number.

10868527595025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10868527595025 is the 3296745-th square number.

10868527595025 is the 1648373-rd centered octagonal number.

It is an amenable number.

10868527595025 is a deficient number, since it is larger than the sum of its proper divisors (9616246613874).

10868527595025 is an frugal number, since it uses more digits than its factorization.

10868527595025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 10868527595025 in words is "ten trillion, eight hundred sixty-eight billion, five hundred twenty-seven million, five hundred ninety-five thousand, twenty-five".