26438564844720 has 1600 divisors, whose sum is σ = 112643790336000. Its totient is φ = 5613263235072.

The previous prime is 26438564844707. The next prime is 26438564844773. The reversal of 26438564844720 is 2744846583462.

26438564844720 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 8 + 564 + 8 + 4 + 47 + 20 = 666.

It is a super-2 number, since 2×26438564844720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 9943046751 + ... + 9943049409.

It is an arithmetic number, because the mean of its divisors is an integer number (70402368960).

Almost surely, 2^{26438564844720} is an apocalyptic number.

26438564844720 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 26438564844720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56321895168000).

26438564844720 is an abundant number, since it is smaller than the sum of its proper divisors (86205225491280).

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

26438564844720 is a wasteful number, since it uses less digits than its factorization.

26438564844720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 63.

The spelling of 26438564844720 in words is "twenty-six trillion, four hundred thirty-eight billion, five hundred sixty-four million, eight hundred forty-four thousand, seven hundred twenty".