27983665866240 has 2560 divisors, whose sum is σ = 119672340480000. Its totient is φ = 6193145806848.

The previous prime is 27983665866209. The next prime is 27983665866311. The reversal of 27983665866240 is 4266856638972.

27983665866240 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 36 + 6 + 586 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125487290769 + ... + 125487290991.

It is an arithmetic number, because the mean of its divisors is an integer number (46747008000).

Almost surely, 2^{27983665866240} is an apocalyptic number.

27983665866240 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 27983665866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59836170240000).

27983665866240 is an abundant number, since it is smaller than the sum of its proper divisors (91688674613760).

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

27983665866240 is an equidigital number, since it uses as much as digits as its factorization.

27983665866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 27983665866240 in words is "twenty-seven trillion, nine hundred eighty-three billion, six hundred sixty-five million, eight hundred sixty-six thousand, two hundred forty".