27821981304 has 256 divisors, whose sum is σ = 84431155200. Its totient is φ = 8438017536.

The previous prime is 27821981293. The next prime is 27821981309. The reversal of 27821981304 is 40318912872.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27821981304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27821981309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98310747 + ... + 98311029.

It is an arithmetic number, because the mean of its divisors is an integer number (329809200).

Almost surely, 2^27821981304 is an apocalyptic number.

27821981304 is a gapful number since it is divisible by the number (24) 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 27821981304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42215577600).

27821981304 is an abundant number, since it is smaller than the sum of its proper divisors (56609173896).

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

27821981304 is a wasteful number, since it uses less digits than its factorization.

27821981304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27821981304 in words is "twenty-seven billion, eight hundred twenty-one million, nine hundred eighty-one thousand, three hundred four".