27775284048800 has 864 divisors, whose sum is σ = 78640566681600. Its totient is φ = 9530261452800.

The previous prime is 27775284048793. The next prime is 27775284048817. The reversal of 27775284048800 is 884048257772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15790382321 + ... + 15790384079.

It is an arithmetic number, because the mean of its divisors is an integer number (91019174400).

Almost surely, 2^{27775284048800} is an apocalyptic number.

27775284048800 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 27775284048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39320283340800).

27775284048800 is an abundant number, since it is smaller than the sum of its proper divisors (50865282632800).

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

27775284048800 is a wasteful number, since it uses less digits than its factorization.

27775284048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 56197120, while the sum is 62.

The spelling of 27775284048800 in words is "twenty-seven trillion, seven hundred seventy-five billion, two hundred eighty-four million, forty-eight thousand, eight hundred".