27400608000 has 432 divisors, whose sum is σ = 99796460400. Its totient is φ = 7217971200.

The previous prime is 27400607987. The next prime is 27400608023. The reversal of 27400608000 is 80600472.

It can be written as a sum of positive squares in 8 ways, for example, as 13762105344 + 13638502656 = 117312^2 + 116784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25631466 + ... + 25632534.

It is an arithmetic number, because the mean of its divisors is an integer number (231010325).

Almost surely, 2^27400608000 is an apocalyptic number.

27400608000 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 27400608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49898230200).

27400608000 is an abundant number, since it is smaller than the sum of its proper divisors (72395852400).

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

27400608000 is a wasteful number, since it uses less digits than its factorization.

27400608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1168 counting only the distinct ones).

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

The spelling of 27400608000 in words is "twenty-seven billion, four hundred million, six hundred eight thousand".