27608400000 has 288 divisors, whose sum is σ = 99314151300. Its totient is φ = 7361280000.

The previous prime is 27608399941. The next prime is 27608400023. The reversal of 27608400000 is 480672.

It can be written as a sum of positive squares in 6 ways, for example, as 161188416 + 27447211584 = 12696^2 + 165672^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3596166 + ... + 3603834.

Almost surely, 2^27608400000 is an apocalyptic number.

27608400000 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 27608400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49657075650).

27608400000 is an abundant number, since it is smaller than the sum of its proper divisors (71705751300).

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

27608400000 is an frugal number, since it uses more digits than its factorization.

27608400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 27608400000 its reverse (480672), we get a palindrome (27608880672).

The spelling of 27608400000 in words is "twenty-seven billion, six hundred eight million, four hundred thousand".