26145340784640 has 1656 divisors, whose sum is σ = 115467631851312. Its totient is φ = 5411658792960.

The previous prime is 26145340784627. The next prime is 26145340784687. The reversal of 26145340784640 is 4648704354162.

26145340784640 is a `hidden beast` number, since 2 + 6 + 1 + 453 + 40 + 78 + 46 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101732843392 + ... + 101732843648.

Almost surely, 2^{26145340784640} is an apocalyptic number.

26145340784640 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 26145340784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57733815925656).

26145340784640 is an abundant number, since it is smaller than the sum of its proper divisors (89322291066672).

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

26145340784640 is an frugal number, since it uses more digits than its factorization.

26145340784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 26145340784640 in words is "twenty-six trillion, one hundred forty-five billion, three hundred forty million, seven hundred eighty-four thousand, six hundred forty".