27911983104 has 312 divisors, whose sum is σ = 86583456960. Its totient is φ = 8973877248.

The previous prime is 27911983097. The next prime is 27911983159. The reversal of 27911983104 is 40138911972.

It is a self number, because there is not a number n which added to its sum of digits gives 27911983104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28864029 + ... + 28864995.

It is an arithmetic number, because the mean of its divisors is an integer number (277511080).

Almost surely, 2^27911983104 is an apocalyptic number.

27911983104 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 27911983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43291728480).

27911983104 is an abundant number, since it is smaller than the sum of its proper divisors (58671473856).

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

27911983104 is an frugal number, since it uses more digits than its factorization.

27911983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 27911983104 in words is "twenty-seven billion, nine hundred eleven million, nine hundred eighty-three thousand, one hundred four".