26120348191249 has 27 divisors (see below), whose sum is σ = 29569107403857. Its totient is φ = 23061433096416.

The previous prime is 26120348191211. The next prime is 26120348191271. The reversal of 26120348191249 is 94219184302162.

The square root of 26120348191249 is 5110807.

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 2915703096849 + 23204645094400 = 1707543^2 + 4817120^2 .

It is not a de Polignac number, because 26120348191249 - 2⁷ = 26120348191121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26120348191196 and 26120348191205.

It is not an unprimeable number, because it can be changed into a prime (26120348191849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1528122747 + ... + 1528139839.

Almost surely, 2^{26120348191249} is an apocalyptic number.

26120348191249 is the 5110807-th square number.

26120348191249 is the 2555404-th centered octagonal number.

It is an amenable number.

26120348191249 is a deficient number, since it is larger than the sum of its proper divisors (3448759212608).

26120348191249 is an frugal number, since it uses more digits than its factorization.

26120348191249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34258 (or 17129 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 26120348191249 in words is "twenty-six trillion, one hundred twenty billion, three hundred forty-eight million, one hundred ninety-one thousand, two hundred forty-nine".