27802303401600 has 5376 divisors, whose sum is σ = 136793857132800. Its totient is φ = 5417769369600.

The previous prime is 27802303401599. The next prime is 27802303401617. The reversal of 27802303401600 is 610430320872.

It is a happy number.

27802303401600 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 2 + 3 + 0 + 3 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 671 ways as a sum of consecutive naturals, for example, 246038083144 + ... + 246038083256.

It is an arithmetic number, because the mean of its divisors is an integer number (25445285925).

Almost surely, 2^{27802303401600} is an apocalyptic number.

27802303401600 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 27802303401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68396928566400).

27802303401600 is an abundant number, since it is smaller than the sum of its proper divisors (108991553731200).

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

27802303401600 is a wasteful number, since it uses less digits than its factorization.

27802303401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27802303401600 in words is "twenty-seven trillion, eight hundred two billion, three hundred three million, four hundred one thousand, six hundred".