27625632849601 has 8 divisors (see below), whose sum is σ = 28300232143008. Its totient is φ = 26951071812000.

The previous prime is 27625632849553. The next prime is 27625632849791. The reversal of 27625632849601 is 10694823652672.

It is a happy number.

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 27625632849601 - 2⁴³ = 18829539827393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27625632849601.

It is not an unprimeable number, because it can be changed into a prime (27625632049601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8099355 + ... + 10993216.

It is an arithmetic number, because the mean of its divisors is an integer number (3537529017876).

It is a 1-persistent number, because it is pandigital, but 2⋅27625632849601 = 55251265699202 is not.

Almost surely, 2^{27625632849601} is an apocalyptic number.

It is an amenable number.

27625632849601 is a deficient number, since it is larger than the sum of its proper divisors (674599293407).

27625632849601 is a wasteful number, since it uses less digits than its factorization.

27625632849601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19127903.

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 27625632849601 in words is "twenty-seven trillion, six hundred twenty-five billion, six hundred thirty-two million, eight hundred forty-nine thousand, six hundred one".