27906416801 has 8 divisors (see below), whose sum is σ = 29589595680. Its totient is φ = 26244679968.

The previous prime is 27906416789. The next prime is 27906416807. The reversal of 27906416801 is 10861460972.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27906416801 - 2¹⁰ = 27906415777 is a prime.

It is a super-2 number, since 2×27906416801² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27906416807) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5357831 + ... + 5363036.

It is an arithmetic number, because the mean of its divisors is an integer number (3698699460).

Almost surely, 2^27906416801 is an apocalyptic number.

It is an amenable number.

27906416801 is a deficient number, since it is larger than the sum of its proper divisors (1683178879).

27906416801 is a wasteful number, since it uses less digits than its factorization.

27906416801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721023.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 27906416801 in words is "twenty-seven billion, nine hundred six million, four hundred sixteen thousand, eight hundred one".