27774835200000 has 3120 divisors, whose sum is σ = 122642136650880. Its totient is φ = 6131220480000.

The previous prime is 27774835199927. The next prime is 27774835200011. The reversal of 27774835200000 is 253847772.

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

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 239 ways as a sum of consecutive naturals, for example, 312076799956 + ... + 312076800044.

Almost surely, 2^{27774835200000} is an apocalyptic number.

27774835200000 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 27774835200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61321068325440).

27774835200000 is an abundant number, since it is smaller than the sum of its proper divisors (94867301450880).

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

27774835200000 is an frugal number, since it uses more digits than its factorization.

27774835200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 27774835200000 in words is "twenty-seven trillion, seven hundred seventy-four billion, eight hundred thirty-five million, two hundred thousand".