26381582027840 has 224 divisors, whose sum is σ = 68359500157536. Its totient is φ = 9639517224960.

The previous prime is 26381582027837. The next prime is 26381582027851. The reversal of 26381582027840 is 4872028518362.

It can be written as a sum of positive squares in 16 ways, for example, as 8512903265344 + 17868678762496 = 2917688^2 + 4227136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301277504 + ... + 301365056.

It is an arithmetic number, because the mean of its divisors is an integer number (305176339989).

Almost surely, 2^{26381582027840} is an apocalyptic number.

26381582027840 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 26381582027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34179750078768).

26381582027840 is an abundant number, since it is smaller than the sum of its proper divisors (41977918129696).

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

26381582027840 is a wasteful number, since it uses less digits than its factorization.

26381582027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88337 (or 88327 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 26381582027840 in words is "twenty-six trillion, three hundred eighty-one billion, five hundred eighty-two million, twenty-seven thousand, eight hundred forty".