27825617926053 has 12 divisors (see below), whose sum is σ = 40192833927948. Its totient is φ = 18550285165440.

The previous prime is 27825617926031. The next prime is 27825617926097. The reversal of 27825617926053 is 35062971652872.

27825617926053 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 5 + 6 + 17 + 9 + 2 + 605 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20278251847044 + 7547366079009 = 4503138^2 + 2747247^2 .

It is not a de Polignac number, because 27825617926053 - 2⁸ = 27825617925797 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27825617926453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9165700 + ... + 11817837.

It is an arithmetic number, because the mean of its divisors is an integer number (3349402827329).

Almost surely, 2^{27825617926053} is an apocalyptic number.

It is an amenable number.

27825617926053 is a deficient number, since it is larger than the sum of its proper divisors (12367216001895).

27825617926053 is a wasteful number, since it uses less digits than its factorization.

27825617926053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21130884 (or 21130881 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 27825617926053 in words is "twenty-seven trillion, eight hundred twenty-five billion, six hundred seventeen million, nine hundred twenty-six thousand, fifty-three".