26302449229056 has 1296 divisors, whose sum is σ = 106053662594880. Its totient is φ = 6159461253120.

The previous prime is 26302449229051. The next prime is 26302449229061. The reversal of 26302449229056 is 65092294420362.

26302449229056 is a `hidden beast` number, since 2 + 6 + 302 + 4 + 49 + 2 + 290 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26302449229051) and next prime (26302449229061).

It is a super-2 number, since 2×26302449229056² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26302449228993 and 26302449229011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26302449229051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 694178560 + ... + 694216448.

It is an arithmetic number, because the mean of its divisors is an integer number (81831529780).

Almost surely, 2^{26302449229056} is an apocalyptic number.

26302449229056 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 26302449229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53026831297440).

26302449229056 is an abundant number, since it is smaller than the sum of its proper divisors (79751213365824).

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

26302449229056 is a wasteful number, since it uses less digits than its factorization.

26302449229056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37992 (or 37968 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 26302449229056 in words is "twenty-six trillion, three hundred two billion, four hundred forty-nine million, two hundred twenty-nine thousand, fifty-six".