27911290680 has 384 divisors, whose sum is σ = 111889814400. Its totient is φ = 5876084736.

The previous prime is 27911290679. The next prime is 27911290697. The reversal of 27911290680 is 8609211972.

27911290680 is a `hidden beast` number, since 279 + 11 + 290 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26109186 + ... + 26110254.

It is an arithmetic number, because the mean of its divisors is an integer number (291379725).

Almost surely, 2^27911290680 is an apocalyptic number.

27911290680 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 27911290680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944907200).

27911290680 is an abundant number, since it is smaller than the sum of its proper divisors (83978523720).

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

27911290680 is a wasteful number, since it uses less digits than its factorization.

27911290680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1896 counting only the distinct ones).

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

The spelling of 27911290680 in words is "twenty-seven billion, nine hundred eleven million, two hundred ninety thousand, six hundred eighty".