27817290081 has 64 divisors (see below), whose sum is σ = 49939660800. Its totient is φ = 14948800128.

The previous prime is 27817290073. The next prime is 27817290097. The reversal of 27817290081 is 18009271872.

27817290081 is a `hidden beast` number, since 278 + 17 + 290 + 0 + 81 = 666.

It is not a de Polignac number, because 27817290081 - 2³ = 27817290073 is a prime.

It is a super-2 number, since 2×27817290081² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27817290181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463696 + ... + 520238.

It is an arithmetic number, because the mean of its divisors is an integer number (780307200).

Almost surely, 2^27817290081 is an apocalyptic number.

27817290081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27817290081 is a deficient number, since it is larger than the sum of its proper divisors (22122370719).

27817290081 is a wasteful number, since it uses less digits than its factorization.

27817290081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56715 (or 56709 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 27817290081 in words is "twenty-seven billion, eight hundred seventeen million, two hundred ninety thousand, eighty-one".