27821906401 has 3 divisors (see below), whose sum is σ = 27822073201. Its totient is φ = 27821739602.

The previous prime is 27821906341. The next prime is 27821906417. The reversal of 27821906401 is 10460912872.

The square root of 27821906401 is 166799.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 27821906401 - 2¹⁵ = 27821873633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27821906471) 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 2 ways as a sum of consecutive naturals, for example, 83400 + ... + 250198.

Almost surely, 2^27821906401 is an apocalyptic number.

27821906401 is the 166799-th square number.

27821906401 is the 83400-th centered octagonal number.

It is an amenable number.

27821906401 is a deficient number, since it is larger than the sum of its proper divisors (166800).

27821906401 is an frugal number, since it uses more digits than its factorization.

27821906401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333598 (or 166799 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 27821906401 in words is "twenty-seven billion, eight hundred twenty-one million, nine hundred six thousand, four hundred one".