10086880720225 has 9 divisors (see below), whose sum is σ = 12507751784217. Its totient is φ = 8069491872240.

The previous prime is 10086880720159. The next prime is 10086880720229. The reversal of 10086880720225 is 52202708868001.

The square root of 10086880720225 is 3175985.

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 2069964155169 + 8016916565056 = 1438737^2 + 2831416^2 .

It is not a de Polignac number, because 10086880720225 - 2⁷ = 10086880720097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10086880720229) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 15562327 + ... + 16197523.

Almost surely, 2^{10086880720225} is an apocalyptic number.

10086880720225 is the 3175985-th square number.

10086880720225 is the 1587993-rd centered octagonal number.

It is an amenable number.

10086880720225 is a deficient number, since it is larger than the sum of its proper divisors (2420871063992).

10086880720225 is an frugal number, since it uses more digits than its factorization.

10086880720225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270404 (or 635202 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

Multiplying 10086880720225 by its sum of digits (49), we get a square (494257155291025 = 22231895²).

The spelling of 10086880720225 in words is "ten trillion, eighty-six billion, eight hundred eighty million, seven hundred twenty thousand, two hundred twenty-five".