1627789716561 has 16 divisors (see below), whose sum is σ = 2178790992000. Its totient is φ = 1080995693568.

The previous prime is 1627789716557. The next prime is 1627789716583. The reversal of 1627789716561 is 1656179877261.

It is not a de Polignac number, because 1627789716561 - 2² = 1627789716557 is a prime.

It is a super-2 number, since 2×1627789716561² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1627789716492 and 1627789716501.

It is not an unprimeable number, because it can be changed into a prime (1627789716361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718705 + ... + 1942193.

It is an arithmetic number, because the mean of its divisors is an integer number (136174437000).

Almost surely, 2^{1627789716561} is an apocalyptic number.

It is an amenable number.

1627789716561 is a deficient number, since it is larger than the sum of its proper divisors (551001275439).

1627789716561 is a wasteful number, since it uses less digits than its factorization.

1627789716561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225208.

The product of its digits is 53343360, while the sum is 66.

The spelling of 1627789716561 in words is "one trillion, six hundred twenty-seven billion, seven hundred eighty-nine million, seven hundred sixteen thousand, five hundred sixty-one".