26981466716160 has 960 divisors, whose sum is σ = 105872313587040. Its totient is φ = 6517991669760.

The previous prime is 26981466716147. The next prime is 26981466716209. The reversal of 26981466716160 is 6161766418962.

It is a happy number.

26981466716160 is a `hidden beast` number, since 2 + 6 + 9 + 8 + 1 + 4 + 6 + 6 + 7 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 2673280074 + ... + 2673290166.

Almost surely, 2^{26981466716160} is an apocalyptic number.

26981466716160 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 26981466716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52936156793520).

26981466716160 is an abundant number, since it is smaller than the sum of its proper divisors (78890846870880).

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

26981466716160 is a wasteful number, since it uses less digits than its factorization.

26981466716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 26981466716160 in words is "twenty-six trillion, nine hundred eighty-one billion, four hundred sixty-six million, seven hundred sixteen thousand, one hundred sixty".