27020841984000 has 1344 divisors, whose sum is σ = 101215799193600. Its totient is φ = 6927482880000.

The previous prime is 27020841983959. The next prime is 27020841984001. The reversal of 27020841984000 is 48914802072.

27020841984000 is a `hidden beast` number, since 27 + 0 + 208 + 4 + 19 + 8 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27020841984001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77423615826 + ... + 77423616174.

It is an arithmetic number, because the mean of its divisors is an integer number (75309374400).

Almost surely, 2^{27020841984000} is an apocalyptic number.

27020841984000 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 27020841984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50607899596800).

27020841984000 is an abundant number, since it is smaller than the sum of its proper divisors (74194957209600).

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

27020841984000 is a wasteful number, since it uses less digits than its factorization.

27020841984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27020841984000 in words is "twenty-seven trillion, twenty billion, eight hundred forty-one million, nine hundred eighty-four thousand".