26263441788480 has 3136 divisors, whose sum is σ = 111161092546560. Its totient is φ = 5851190919168.

The previous prime is 26263441788349. The next prime is 26263441788497. The reversal of 26263441788480 is 8488714436262.

It is a happy number.

26263441788480 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 34 + 41 + 7 + 88 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 206798754177 + ... + 206798754303.

It is an arithmetic number, because the mean of its divisors is an integer number (35446776960).

Almost surely, 2^{26263441788480} is an apocalyptic number.

26263441788480 is a gapful number since it is divisible by the number (20) 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 26263441788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55580546273280).

26263441788480 is an abundant number, since it is smaller than the sum of its proper divisors (84897650758080).

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

26263441788480 is a wasteful number, since it uses less digits than its factorization.

26263441788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 26263441788480 in words is "twenty-six trillion, two hundred sixty-three billion, four hundred forty-one million, seven hundred eighty-eight thousand, four hundred eighty".