27825006011010 has 64 divisors (see below), whose sum is σ = 71918121445632. Its totient is φ = 6849119598336.

The previous prime is 27825006010961. The next prime is 27825006011029. The reversal of 27825006011010 is 1011060052872.

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 31 ways as a sum of consecutive naturals, for example, 24532972 + ... + 25642088.

It is an arithmetic number, because the mean of its divisors is an integer number (1123720647588).

Almost surely, 2^{27825006011010} is an apocalyptic number.

27825006011010 is an abundant number, since it is smaller than the sum of its proper divisors (44093115434622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27825006011010 is a wasteful number, since it uses less digits than its factorization.

27825006011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173467.

The product of its (nonzero) digits is 6720, while the sum is 33.

Adding to 27825006011010 its reverse (1011060052872), we get a palindrome (28836066063882).

The spelling of 27825006011010 in words is "twenty-seven trillion, eight hundred twenty-five billion, six million, eleven thousand, ten".