27379447200 has 288 divisors, whose sum is σ = 113169006720. Its totient is φ = 6258124800.

The previous prime is 27379447159. The next prime is 27379447219. The reversal of 27379447200 is 274497372.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60660 + ... + 241740.

It is an arithmetic number, because the mean of its divisors is an integer number (392947940).

Almost surely, 2^27379447200 is an apocalyptic number.

27379447200 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 27379447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56584503360).

27379447200 is an abundant number, since it is smaller than the sum of its proper divisors (85789559520).

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

27379447200 is a wasteful number, since it uses less digits than its factorization.

27379447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181117 (or 181098 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 27379447200 in words is "twenty-seven billion, three hundred seventy-nine million, four hundred forty-seven thousand, two hundred".