26293525440 has 1344 divisors, whose sum is σ = 115193917440. Its totient is φ = 5016453120.

The previous prime is 26293525403. The next prime is 26293525463. The reversal of 26293525440 is 4452539262.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26293525392 and 26293525401.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 360185244 + ... + 360185316.

It is an arithmetic number, because the mean of its divisors is an integer number (85709760).

Almost surely, 2^26293525440 is an apocalyptic number.

26293525440 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 26293525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57596958720).

26293525440 is an abundant number, since it is smaller than the sum of its proper divisors (88900392000).

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

26293525440 is a wasteful number, since it uses less digits than its factorization.

26293525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 26293525440 in words is "twenty-six billion, two hundred ninety-three million, five hundred twenty-five thousand, four hundred forty".