27105405696 has 216 divisors, whose sum is σ = 81931785936. Its totient is φ = 8608481280.

The previous prime is 27105405689. The next prime is 27105405703. The reversal of 27105405696 is 69650450172.

27105405696 is a `hidden beast` number, since 2 + 7 + 10 + 540 + 5 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (27105405689) and next prime (27105405703).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4058616 + ... + 4065288.

Almost surely, 2^27105405696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27105405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965892968).

27105405696 is an abundant number, since it is smaller than the sum of its proper divisors (54826380240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27105405696 is a wasteful number, since it uses less digits than its factorization.

27105405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 27105405696 in words is "twenty-seven billion, one hundred five million, four hundred five thousand, six hundred ninety-six".