26661282336 has 144 divisors (see below), whose sum is σ = 81885539736. Its totient is φ = 8179826688.

The previous prime is 26661282317. The next prime is 26661282337. The reversal of 26661282336 is 63328216662.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24851630736 + 1809651600 = 157644^2 + 42540^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26661282291 and 26661282300.

It is not an unprimeable number, because it can be changed into a prime (26661282337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311546 + ... + 1331718.

Almost surely, 2^26661282336 is an apocalyptic number.

26661282336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26661282336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40942769868).

26661282336 is an abundant number, since it is smaller than the sum of its proper divisors (55224257400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26661282336 is a wasteful number, since it uses less digits than its factorization.

26661282336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20555 (or 20544 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

Adding to 26661282336 its reverse (63328216662), we get a palindrome (89989498998).

The spelling of 26661282336 in words is "twenty-six billion, six hundred sixty-one million, two hundred eighty-two thousand, three hundred thirty-six".