27953841601 has 16 divisors (see below), whose sum is σ = 32418147328. Its totient is φ = 23607936000.

The previous prime is 27953841593. The next prime is 27953841607. The reversal of 27953841601 is 10614835972.

It is a cyclic number.

It is not a de Polignac number, because 27953841601 - 2³ = 27953841593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27953841607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478801 + ... + 534001.

It is an arithmetic number, because the mean of its divisors is an integer number (2026134208).

It is a 1-persistent number, because it is pandigital, but 2⋅27953841601 = 55907683202 is not.

Almost surely, 2^27953841601 is an apocalyptic number.

It is an amenable number.

27953841601 is a deficient number, since it is larger than the sum of its proper divisors (4464305727).

27953841601 is an equidigital number, since it uses as much as digits as its factorization.

27953841601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56272.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 27953841601 in words is "twenty-seven billion, nine hundred fifty-three million, eight hundred forty-one thousand, six hundred one".