26291580514561 has 16 divisors (see below), whose sum is σ = 26404657650000. Its totient is φ = 26178739716096.

The previous prime is 26291580514457. The next prime is 26291580514567. The reversal of 26291580514561 is 16541508519262.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1167988140225 + 25123592374336 = 1080735^2 + 5012344^2 .

It is a cyclic number.

It is not a de Polignac number, because 26291580514561 - 2²⁷ = 26291446296833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26291580514567) 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, 1027443555 + ... + 1027469143.

It is an arithmetic number, because the mean of its divisors is an integer number (1650291103125).

Almost surely, 2^{26291580514561} is an apocalyptic number.

It is an amenable number.

26291580514561 is a deficient number, since it is larger than the sum of its proper divisors (113077135439).

26291580514561 is a wasteful number, since it uses less digits than its factorization.

26291580514561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30036.

The product of its (nonzero) digits is 5184000, while the sum is 55.

The spelling of 26291580514561 in words is "twenty-six trillion, two hundred ninety-one billion, five hundred eighty million, five hundred fourteen thousand, five hundred sixty-one".