26098621559761 has 9 divisors (see below), whose sum is σ = 26360103337329. Its totient is φ = 25839708498000.

The previous prime is 26098621559743. The next prime is 26098621559807. The reversal of 26098621559761 is 16795512689062.

The square root of 26098621559761 is 5108681.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12798012559761 + 13300609000000 = 3577431^2 + 3647000^2 .

It is not a de Polignac number, because 26098621559761 - 2¹⁵ = 26098621526993 is a prime.

It is a super-3 number, since 3×26098621559761³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26098621509761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 515951491 + ... + 516002071.

Almost surely, 2^{26098621559761} is an apocalyptic number.

26098621559761 is the 5108681-st square number.

26098621559761 is the 2554341-st centered octagonal number.

It is an amenable number.

26098621559761 is a deficient number, since it is larger than the sum of its proper divisors (261481777568).

26098621559761 is an frugal number, since it uses more digits than its factorization.

26098621559761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101364 (or 50682 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 67.

The spelling of 26098621559761 in words is "twenty-six trillion, ninety-eight billion, six hundred twenty-one million, five hundred fifty-nine thousand, seven hundred sixty-one".