27105436800000 has 1188 divisors, whose sum is σ = 105949696949460. Its totient is φ = 6670909440000.

The previous prime is 27105436799993. The next prime is 27105436800037. The reversal of 27105436800000 is 863450172.

27105436800000 is a `hidden beast` number, since 27 + 10 + 543 + 6 + 80 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 9991263522816 + 17114173277184 = 3160896^2 + 4136928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4867197216 + ... + 4867202784.

Almost surely, 2^{27105436800000} is an apocalyptic number.

27105436800000 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 27105436800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52974848474730).

27105436800000 is an abundant number, since it is smaller than the sum of its proper divisors (78844260149460).

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

27105436800000 is an equidigital number, since it uses as much as digits as its factorization.

27105436800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27105436800000 in words is "twenty-seven trillion, one hundred five billion, four hundred thirty-six million, eight hundred thousand".