27723233056101 has 64 divisors (see below), whose sum is σ = 41583196682496. Its totient is φ = 16287934464000.

The previous prime is 27723233056081. The next prime is 27723233056109. The reversal of 27723233056101 is 10165033232772.

It is not a de Polignac number, because 27723233056101 - 2⁵ = 27723233056069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27723233056109) 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, 32917485 + ... + 33749181.

It is an arithmetic number, because the mean of its divisors is an integer number (649737448164).

Almost surely, 2^{27723233056101} is an apocalyptic number.

It is an amenable number.

27723233056101 is a deficient number, since it is larger than the sum of its proper divisors (13859963626395).

27723233056101 is a wasteful number, since it uses less digits than its factorization.

27723233056101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832022.

The product of its (nonzero) digits is 317520, while the sum is 42.

Adding to 27723233056101 its reverse (10165033232772), we get a palindrome (37888266288873).

It can be divided in two parts, 277232 and 33056101, that added together give a palindrome (33333333).

The spelling of 27723233056101 in words is "twenty-seven trillion, seven hundred twenty-three billion, two hundred thirty-three million, fifty-six thousand, one hundred one".