26755614891889 has 45 divisors (see below), whose sum is σ = 29336926077351. Its totient is φ = 24401349947520.

The previous prime is 26755614891871. The next prime is 26755614891913. The reversal of 26755614891889 is 98819841655762.

The square root of 26755614891889 is 5172583.

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

It can be written as a sum of positive squares in 7 ways, for example, as 24874328331889 + 1881286560000 = 4987417^2 + 1371600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-26755614891889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26755614891809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 111019148809 + ... + 111019149049.

Almost surely, 2^{26755614891889} is an apocalyptic number.

26755614891889 is the 5172583-rd square number.

26755614891889 is the 2586292-nd centered octagonal number.

It is an amenable number.

26755614891889 is a deficient number, since it is larger than the sum of its proper divisors (2581311185462).

26755614891889 is an frugal number, since it uses more digits than its factorization.

26755614891889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 381 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 79.

The spelling of 26755614891889 in words is "twenty-six trillion, seven hundred fifty-five billion, six hundred fourteen million, eight hundred ninety-one thousand, eight hundred eighty-nine".