26442751133568 has 512 divisors, whose sum is σ = 92225677824000. Its totient is φ = 6503473152000.

The previous prime is 26442751133563. The next prime is 26442751133597. The reversal of 26442751133568 is 86533115724462.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26442751133563) 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 63 ways as a sum of consecutive naturals, for example, 1224133968 + ... + 1224155568.

It is an arithmetic number, because the mean of its divisors is an integer number (180128277000).

Almost surely, 2^{26442751133568} is an apocalyptic number.

26442751133568 is a gapful number since it is divisible by the number (28) 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 26442751133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46112838912000).

26442751133568 is an abundant number, since it is smaller than the sum of its proper divisors (65782926690432).

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

26442751133568 is a wasteful number, since it uses less digits than its factorization.

26442751133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23834 (or 23822 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 26442751133568 in words is "twenty-six trillion, four hundred forty-two billion, seven hundred fifty-one million, one hundred thirty-three thousand, five hundred sixty-eight".