26805489984 has 504 divisors, whose sum is σ = 98548850400. Its totient is φ = 6901106688.

The previous prime is 26805489967. The next prime is 26805490067. The reversal of 26805489984 is 48998450862.

26805489984 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 548 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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, 15776367 + ... + 15778065.

Almost surely, 2^26805489984 is an apocalyptic number.

26805489984 is a gapful number since it is divisible by the number (24) 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 26805489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49274425200).

26805489984 is an abundant number, since it is smaller than the sum of its proper divisors (71743360416).

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

26805489984 is a wasteful number, since it uses less digits than its factorization.

26805489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 26805489984 in words is "twenty-six billion, eight hundred five million, four hundred eighty-nine thousand, nine hundred eighty-four".