27783871948800 has 2592 divisors, whose sum is σ = 115372190082240. Its totient is φ = 6578719948800.

The previous prime is 27783871948769. The next prime is 27783871948813. The reversal of 27783871948800 is 884917838772.

27783871948800 is a `hidden beast` number, since 2 + 7 + 78 + 3 + 8 + 71 + 9 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 269746329549 + ... + 269746329651.

Almost surely, 2^{27783871948800} is an apocalyptic number.

27783871948800 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 27783871948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57686095041120).

27783871948800 is an abundant number, since it is smaller than the sum of its proper divisors (87588318133440).

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

27783871948800 is an equidigital number, since it uses as much as digits as its factorization.

27783871948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 27783871948800 in words is "twenty-seven trillion, seven hundred eighty-three billion, eight hundred seventy-one million, nine hundred forty-eight thousand, eight hundred".