27978039600 has 720 divisors, whose sum is σ = 111482150400. Its totient is φ = 5962844160.

The previous prime is 27978039589. The next prime is 27978039601. The reversal of 27978039600 is 693087972.

It is not an unprimeable number, because it can be changed into a prime (27978039601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88258642 + ... + 88258958.

It is an arithmetic number, because the mean of its divisors is an integer number (154836320).

Almost surely, 2^27978039600 is an apocalyptic number.

27978039600 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 27978039600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55741075200).

27978039600 is an abundant number, since it is smaller than the sum of its proper divisors (83504110800).

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

27978039600 is a wasteful number, since it uses less digits than its factorization.

27978039600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 27978039600 in words is "twenty-seven billion, nine hundred seventy-eight million, thirty-nine thousand, six hundred".