27956823982080 has 672 divisors, whose sum is σ = 105553065934848. Its totient is φ = 6183242956800.

The previous prime is 27956823982079. The next prime is 27956823982121. The reversal of 27956823982080 is 8028932865972.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×27956823982080² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27956823981996 and 27956823982014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413110785 + ... + 3413118975.

It is an arithmetic number, because the mean of its divisors is an integer number (157073014784).

Almost surely, 2^{27956823982080} is an apocalyptic number.

27956823982080 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 27956823982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52776532967424).

27956823982080 is an abundant number, since it is smaller than the sum of its proper divisors (77596241952768).

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

27956823982080 is an frugal number, since it uses more digits than its factorization.

27956823982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 27956823982080 in words is "twenty-seven trillion, nine hundred fifty-six billion, eight hundred twenty-three million, nine hundred eighty-two thousand, eighty".