26786232225 has 45 divisors (see below), whose sum is σ = 49631007657. Its totient is φ = 14282062560.

The previous prime is 26786232211. The next prime is 26786232229. The reversal of 26786232225 is 52223268762.

It is a happy number.

The square root of 26786232225 is 163665.

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

26786232225 is a `hidden beast` number, since 267 + 8 + 62 + 322 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12792288609 + 13993943616 = 113103^2 + 118296^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 26786232225 - 2¹⁵ = 26786199457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26786232229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7363107 + ... + 7366743.

Almost surely, 2^26786232225 is an apocalyptic number.

26786232225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26786232225 is the 163665-th square number.

26786232225 is the 81833-rd centered octagonal number.

It is an amenable number.

26786232225 is a deficient number, since it is larger than the sum of its proper divisors (22844775432).

26786232225 is an frugal number, since it uses more digits than its factorization.

26786232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 3645 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 26786232225 in words is "twenty-six billion, seven hundred eighty-six million, two hundred thirty-two thousand, two hundred twenty-five".