2661105289759 has 16 divisors (see below), whose sum is σ = 3148104744000. Its totient is φ = 2200914745344.

The previous prime is 2661105289753. The next prime is 2661105289769. The reversal of 2661105289759 is 9579825011662.

It is not a de Polignac number, because 2661105289759 - 2⁵ = 2661105289727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2661105289697 and 2661105289706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661105289753) 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, 3780034 + ... + 4428415.

It is an arithmetic number, because the mean of its divisors is an integer number (196756546500).

Almost surely, 2^{2661105289759} is an apocalyptic number.

2661105289759 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2661105289759 is a deficient number, since it is larger than the sum of its proper divisors (486999454241).

2661105289759 is a wasteful number, since it uses less digits than its factorization.

2661105289759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210082.

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 2661105289759 in words is "two trillion, six hundred sixty-one billion, one hundred five million, two hundred eighty-nine thousand, seven hundred fifty-nine".