27773864064000 has 704 divisors, whose sum is σ = 104098144550400. Its totient is φ = 7301984256000.

The previous prime is 27773864063969. The next prime is 27773864064029. The reversal of 27773864064000 is 46046837772.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245319406 + ... + 245432594.

It is an arithmetic number, because the mean of its divisors is an integer number (147866682600).

Almost surely, 2^{27773864064000} is an apocalyptic number.

27773864064000 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 27773864064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52049072275200).

27773864064000 is an abundant number, since it is smaller than the sum of its proper divisors (76324280486400).

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

27773864064000 is a wasteful number, since it uses less digits than its factorization.

27773864064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113304 (or 113270 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 27773864064000 in words is "twenty-seven trillion, seven hundred seventy-three billion, eight hundred sixty-four million, sixty-four thousand".