26979591784320 has 1024 divisors, whose sum is σ = 109996011417600. Its totient is φ = 6122135126016.

The previous prime is 26979591784309. The next prime is 26979591784357. The reversal of 26979591784320 is 2348719597962.

26979591784320 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 9 + 591 + 7 + 8 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 14607249637 + ... + 14607251483.

It is an arithmetic number, because the mean of its divisors is an integer number (107417979900).

It is a 1-persistent number, because it is pandigital, but 2⋅26979591784320 = 53959183568640 is not.

Almost surely, 2^{26979591784320} is an apocalyptic number.

26979591784320 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 26979591784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54998005708800).

26979591784320 is an abundant number, since it is smaller than the sum of its proper divisors (83016419633280).

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

26979591784320 is a wasteful number, since it uses less digits than its factorization.

26979591784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 26979591784320 in words is "twenty-six trillion, nine hundred seventy-nine billion, five hundred ninety-one million, seven hundred eighty-four thousand, three hundred twenty".