27850848656553 has 48 divisors (see below), whose sum is σ = 44165825318160. Its totient is φ = 16806137167872.

The previous prime is 27850848656551. The next prime is 27850848656573. The reversal of 27850848656553 is 35565684805872.

27850848656553 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 0 + 8 + 4 + 8 + 6 + 565 + 53 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2318928976809 + 25531919679744 = 1522803^2 + 5052912^2 .

It is not a de Polignac number, because 27850848656553 - 2¹ = 27850848656551 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27850848656551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9755433 + ... + 12282921.

It is an arithmetic number, because the mean of its divisors is an integer number (920121360795).

Almost surely, 2^{27850848656553} is an apocalyptic number.

It is an amenable number.

27850848656553 is a deficient number, since it is larger than the sum of its proper divisors (16314976661607).

27850848656553 is a wasteful number, since it uses less digits than its factorization.

27850848656553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529338 (or 2529335 counting only the distinct ones).

The product of its (nonzero) digits is 1935360000, while the sum is 72.

The spelling of 27850848656553 in words is "twenty-seven trillion, eight hundred fifty billion, eight hundred forty-eight million, six hundred fifty-six thousand, five hundred fifty-three".