26382602413760 has 448 divisors, whose sum is σ = 66292750368768. Its totient is φ = 9990517211136.

The previous prime is 26382602413729. The next prime is 26382602413789. The reversal of 26382602413760 is 6731420628362.

It is a junction number, because it is equal to n+sod(n) for n = 26382602413699 and 26382602413708.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30929193494 + ... + 30929194346.

It is an arithmetic number, because the mean of its divisors is an integer number (147974889216).

Almost surely, 2^{26382602413760} is an apocalyptic number.

26382602413760 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 26382602413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33146375184384).

26382602413760 is an abundant number, since it is smaller than the sum of its proper divisors (39910147955008).

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

26382602413760 is a wasteful number, since it uses less digits than its factorization.

26382602413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 26382602413760 in words is "twenty-six trillion, three hundred eighty-two billion, six hundred two million, four hundred thirteen thousand, seven hundred sixty".