27284981068800 has 6336 divisors, whose sum is σ = 139641951232000. Its totient is φ = 5068050923520.

The previous prime is 27284981068799. The next prime is 27284981068853. The reversal of 27284981068800 is 886018948272.

27284981068800 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 498 + 1 + 0 + 68 + 80 + 0 = 666.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 345379507161 + ... + 345379507239.

Almost surely, 2^{27284981068800} is an apocalyptic number.

27284981068800 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 27284981068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69820975616000).

27284981068800 is an abundant number, since it is smaller than the sum of its proper divisors (112356970163200).

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

27284981068800 is a wasteful number, since it uses less digits than its factorization.

27284981068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 27284981068800 in words is "twenty-seven trillion, two hundred eighty-four billion, nine hundred eighty-one million, sixty-eight thousand, eight hundred".