27735143355 has 12 divisors (see below), whose sum is σ = 48074248560. Its totient is φ = 14792076432.

The previous prime is 27735143339. The next prime is 27735143369. The reversal of 27735143355 is 55334153772.

27735143355 is a `hidden beast` number, since 277 + 35 + 14 + 335 + 5 = 666.

It is not a de Polignac number, because 27735143355 - 2⁴ = 27735143339 is a prime.

It is a super-3 number, since 3×27735143355³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 616336519 = 27735143355 / (2 + 7 + 7 + 3 + 5 + 1 + 4 + 3 + 3 + 5 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 27735143355.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308168215 + ... + 308168304.

It is an arithmetic number, because the mean of its divisors is an integer number (4006187380).

Almost surely, 2^27735143355 is an apocalyptic number.

27735143355 is a deficient number, since it is larger than the sum of its proper divisors (20339105205).

27735143355 is a wasteful number, since it uses less digits than its factorization.

27735143355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616336530 (or 616336527 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 45.

The spelling of 27735143355 in words is "twenty-seven billion, seven hundred thirty-five million, one hundred forty-three thousand, three hundred fifty-five".