26560850625 has 135 divisors (see below), whose sum is σ = 50084231197. Its totient is φ = 13559520000.

The previous prime is 26560850597. The next prime is 26560850647. The reversal of 26560850625 is 52605806562.

The square root of 26560850625 is 162975.

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

26560850625 is a `hidden beast` number, since 2 + 6 + 560 + 85 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 17616987441 + 8943863184 = 132729^2 + 94572^2 .

It is not a de Polignac number, because 26560850625 - 2¹⁷ = 26560719553 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 501148099 + ... + 501148151.

Almost surely, 2^26560850625 is an apocalyptic number.

26560850625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26560850625 is the 162975-th square number.

26560850625 is the 81488-th centered octagonal number.

It is an amenable number.

26560850625 is a deficient number, since it is larger than the sum of its proper divisors (23523380572).

26560850625 is an frugal number, since it uses more digits than its factorization.

26560850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 26560850625 in words is "twenty-six billion, five hundred sixty million, eight hundred fifty thousand, six hundred twenty-five".