27725702001 has 16 divisors (see below), whose sum is σ = 37845068160. Its totient is φ = 18050083200.

The previous prime is 27725701951. The next prime is 27725702021. The reversal of 27725702001 is 10020752772.

It is not a de Polignac number, because 27725702001 - 2¹⁸ = 27725439857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27725702021) 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 15 ways as a sum of consecutive naturals, for example, 604621 + ... + 648858.

It is an arithmetic number, because the mean of its divisors is an integer number (2365316760).

Almost surely, 2^27725702001 is an apocalyptic number.

It is an amenable number.

27725702001 is a deficient number, since it is larger than the sum of its proper divisors (10119366159).

27725702001 is a wasteful number, since it uses less digits than its factorization.

27725702001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253656.

The product of its (nonzero) digits is 13720, while the sum is 33.

The spelling of 27725702001 in words is "twenty-seven billion, seven hundred twenty-five million, seven hundred two thousand, one".