27802594428780 has 192 divisors, whose sum is σ = 83997623001600. Its totient is φ = 6848404899840.

The previous prime is 27802594428779. The next prime is 27802594428857. The reversal of 27802594428780 is 8782449520872.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 27393990 + ... + 28390770.

It is an arithmetic number, because the mean of its divisors is an integer number (437487619800).

Almost surely, 2^{27802594428780} is an apocalyptic number.

27802594428780 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 27802594428780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41998811500800).

27802594428780 is an abundant number, since it is smaller than the sum of its proper divisors (56195028572820).

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

27802594428780 is a wasteful number, since it uses less digits than its factorization.

27802594428780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997424 (or 997422 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 66.

The spelling of 27802594428780 in words is "twenty-seven trillion, eight hundred two billion, five hundred ninety-four million, four hundred twenty-eight thousand, seven hundred eighty".