827727000010 has 16 divisors (see below), whose sum is σ = 1577550282696. Its totient is φ = 311614870528.

The previous prime is 827726999969. The next prime is 827727000053. The reversal of 827727000010 is 10000727728.

827727000010 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 827497689561 + 229310449 = 909669^2 + 15143^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 827727000010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434491007 + ... + 2434491346.

Almost surely, 2^827727000010 is an apocalyptic number.

827727000010 is a deficient number, since it is larger than the sum of its proper divisors (749823282686).

827727000010 is a wasteful number, since it uses less digits than its factorization.

827727000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868982377.

The product of its (nonzero) digits is 10976, while the sum is 34.

Adding to 827727000010 its reverse (10000727728), we get a palindrome (837727727738).

The spelling of 827727000010 in words is "eight hundred twenty-seven billion, seven hundred twenty-seven million, ten", and thus it is an aban number.